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Finding the Third Proportional to 61,140.66 and 96,635.53

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Solution

The third proportional to 61,140.66 and 96,635.53 is: 152,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,140.66 : 96,635.53 = 96,635.53 : x
  2. Step 2: Convert to fraction form
    61,140.66/96,635.53 = 96,635.53/x
  3. Step 3: Cross multiply
    61,140.66x = 96,635.53 × 96,635.53
  4. Step 4: Simplify right side
    61,140.66x = 9,338,425,899.97
  5. Step 5: Solve for x
    x = 9,338,425,899.97/61,140.66
  6. Step 6: Final answer
    x = 152,736.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.