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Finding the Third Proportional to 100,732.50 and 141,203.25

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Solution

The third proportional to 100,732.50 and 141,203.25 is: 197,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,732.50 : 141,203.25 = 141,203.25 : x
  2. Step 2: Convert to fraction form
    100,732.50/141,203.25 = 141,203.25/x
  3. Step 3: Cross multiply
    100,732.50x = 141,203.25 × 141,203.25
  4. Step 4: Simplify right side
    100,732.50x = 19,938,357,810.56
  5. Step 5: Solve for x
    x = 19,938,357,810.56/100,732.50
  6. Step 6: Final answer
    x = 197,933.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.