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Finding the Third Proportional to 64,139.38 and 100,615.13

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Solution

The third proportional to 64,139.38 and 100,615.13 is: 157,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,139.38 : 100,615.13 = 100,615.13 : x
  2. Step 2: Convert to fraction form
    64,139.38/100,615.13 = 100,615.13/x
  3. Step 3: Cross multiply
    64,139.38x = 100,615.13 × 100,615.13
  4. Step 4: Simplify right side
    64,139.38x = 10,123,403,378.77
  5. Step 5: Solve for x
    x = 10,123,403,378.77/64,139.38
  6. Step 6: Final answer
    x = 157,834.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.