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Finding the Third Proportional to 59,871 and 89,287

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Solution

The third proportional to 59,871 and 89,287 is: 133,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,871 : 89,287 = 89,287 : x
  2. Step 2: Convert to fraction form
    59,871/89,287 = 89,287/x
  3. Step 3: Cross multiply
    59,871x = 89,287 × 89,287
  4. Step 4: Simplify right side
    59,871x = 7,972,168,369
  5. Step 5: Solve for x
    x = 7,972,168,369/59,871
  6. Step 6: Final answer
    x = 133,155.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.