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Finding the Third Proportional to 64,672.31 and 96,610.13

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Solution

The third proportional to 64,672.31 and 96,610.13 is: 144,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,672.31 : 96,610.13 = 96,610.13 : x
  2. Step 2: Convert to fraction form
    64,672.31/96,610.13 = 96,610.13/x
  3. Step 3: Cross multiply
    64,672.31x = 96,610.13 × 96,610.13
  4. Step 4: Simplify right side
    64,672.31x = 9,333,516,252.52
  5. Step 5: Solve for x
    x = 9,333,516,252.52/64,672.31
  6. Step 6: Final answer
    x = 144,320.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.