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Finding the Third Proportional to 104,145.75 and 157,677.75

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Solution

The third proportional to 104,145.75 and 157,677.75 is: 238,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,145.75 : 157,677.75 = 157,677.75 : x
  2. Step 2: Convert to fraction form
    104,145.75/157,677.75 = 157,677.75/x
  3. Step 3: Cross multiply
    104,145.75x = 157,677.75 × 157,677.75
  4. Step 4: Simplify right side
    104,145.75x = 24,862,272,845.06
  5. Step 5: Solve for x
    x = 24,862,272,845.06/104,145.75
  6. Step 6: Final answer
    x = 238,725.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.