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Finding the Third Proportional to 89,732 and 140,776

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Solution

The third proportional to 89,732 and 140,776 is: 220,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,732 : 140,776 = 140,776 : x
  2. Step 2: Convert to fraction form
    89,732/140,776 = 140,776/x
  3. Step 3: Cross multiply
    89,732x = 140,776 × 140,776
  4. Step 4: Simplify right side
    89,732x = 19,817,882,176
  5. Step 5: Solve for x
    x = 19,817,882,176/89,732
  6. Step 6: Final answer
    x = 220,856.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.