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Finding the Third Proportional to 89,730 and 134,811

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Solution

The third proportional to 89,730 and 134,811 is: 202,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 134,811 = 134,811 : x
  2. Step 2: Convert to fraction form
    89,730/134,811 = 134,811/x
  3. Step 3: Cross multiply
    89,730x = 134,811 × 134,811
  4. Step 4: Simplify right side
    89,730x = 18,174,005,721
  5. Step 5: Solve for x
    x = 18,174,005,721/89,730
  6. Step 6: Final answer
    x = 202,541.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.