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Finding the Third Proportional to 42,531.19 and 89,416.13

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Solution

The third proportional to 42,531.19 and 89,416.13 is: 187,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,531.19 : 89,416.13 = 89,416.13 : x
  2. Step 2: Convert to fraction form
    42,531.19/89,416.13 = 89,416.13/x
  3. Step 3: Cross multiply
    42,531.19x = 89,416.13 × 89,416.13
  4. Step 4: Simplify right side
    42,531.19x = 7,995,243,410.02
  5. Step 5: Solve for x
    x = 7,995,243,410.02/42,531.19
  6. Step 6: Final answer
    x = 187,985.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.