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Finding the Third Proportional to 100,875.75 and 146,561.63

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Solution

The third proportional to 100,875.75 and 146,561.63 is: 212,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875.75 : 146,561.63 = 146,561.63 : x
  2. Step 2: Convert to fraction form
    100,875.75/146,561.63 = 146,561.63/x
  3. Step 3: Cross multiply
    100,875.75x = 146,561.63 × 146,561.63
  4. Step 4: Simplify right side
    100,875.75x = 21,480,309,922.64
  5. Step 5: Solve for x
    x = 21,480,309,922.64/100,875.75
  6. Step 6: Final answer
    x = 212,938.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.