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Finding the Third Proportional to 66,151.69 and 75,841.31

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Solution

The third proportional to 66,151.69 and 75,841.31 is: 86,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,151.69 : 75,841.31 = 75,841.31 : x
  2. Step 2: Convert to fraction form
    66,151.69/75,841.31 = 75,841.31/x
  3. Step 3: Cross multiply
    66,151.69x = 75,841.31 × 75,841.31
  4. Step 4: Simplify right side
    66,151.69x = 5,751,904,681.72
  5. Step 5: Solve for x
    x = 5,751,904,681.72/66,151.69
  6. Step 6: Final answer
    x = 86,950.23

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.