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Finding the Third Proportional to 84,776 and 131,060

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Solution

The third proportional to 84,776 and 131,060 is: 202,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,776 : 131,060 = 131,060 : x
  2. Step 2: Convert to fraction form
    84,776/131,060 = 131,060/x
  3. Step 3: Cross multiply
    84,776x = 131,060 × 131,060
  4. Step 4: Simplify right side
    84,776x = 17,176,723,600
  5. Step 5: Solve for x
    x = 17,176,723,600/84,776
  6. Step 6: Final answer
    x = 202,613.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.