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Finding the Third Proportional to 42,451.50 and 89,034

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Solution

The third proportional to 42,451.50 and 89,034 is: 186,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451.50 : 89,034 = 89,034 : x
  2. Step 2: Convert to fraction form
    42,451.50/89,034 = 89,034/x
  3. Step 3: Cross multiply
    42,451.50x = 89,034 × 89,034
  4. Step 4: Simplify right side
    42,451.50x = 7,927,053,156
  5. Step 5: Solve for x
    x = 7,927,053,156/42,451.50
  6. Step 6: Final answer
    x = 186,731.99

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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.