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Finding the Third Proportional to 61,175.25 and 89,097.47

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Solution

The third proportional to 61,175.25 and 89,097.47 is: 129,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,175.25 : 89,097.47 = 89,097.47 : x
  2. Step 2: Convert to fraction form
    61,175.25/89,097.47 = 89,097.47/x
  3. Step 3: Cross multiply
    61,175.25x = 89,097.47 × 89,097.47
  4. Step 4: Simplify right side
    61,175.25x = 7,938,358,937.66
  5. Step 5: Solve for x
    x = 7,938,358,937.66/61,175.25
  6. Step 6: Final answer
    x = 129,764.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.