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Finding the Third Proportional to 42,578.16 and 61,099.31

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Solution

The third proportional to 42,578.16 and 61,099.31 is: 87,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,578.16 : 61,099.31 = 61,099.31 : x
  2. Step 2: Convert to fraction form
    42,578.16/61,099.31 = 61,099.31/x
  3. Step 3: Cross multiply
    42,578.16x = 61,099.31 × 61,099.31
  4. Step 4: Simplify right side
    42,578.16x = 3,733,125,987.97
  5. Step 5: Solve for x
    x = 3,733,125,987.97/42,578.16
  6. Step 6: Final answer
    x = 87,677.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.