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Finding the Third Proportional to 42,472 and 89,072

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Solution

The third proportional to 42,472 and 89,072 is: 186,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472 : 89,072 = 89,072 : x
  2. Step 2: Convert to fraction form
    42,472/89,072 = 89,072/x
  3. Step 3: Cross multiply
    42,472x = 89,072 × 89,072
  4. Step 4: Simplify right side
    42,472x = 7,933,821,184
  5. Step 5: Solve for x
    x = 7,933,821,184/42,472
  6. Step 6: Final answer
    x = 186,801.21

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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.