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Finding the Third Proportional to 42,562.13 and 89,407.13

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Solution

The third proportional to 42,562.13 and 89,407.13 is: 187,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,562.13 : 89,407.13 = 89,407.13 : x
  2. Step 2: Convert to fraction form
    42,562.13/89,407.13 = 89,407.13/x
  3. Step 3: Cross multiply
    42,562.13x = 89,407.13 × 89,407.13
  4. Step 4: Simplify right side
    42,562.13x = 7,993,634,000.77
  5. Step 5: Solve for x
    x = 7,993,634,000.77/42,562.13
  6. Step 6: Final answer
    x = 187,810.97

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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.