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Finding the Third Proportional to 142,776 and 187,634

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Solution

The third proportional to 142,776 and 187,634 is: 246,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,776 : 187,634 = 187,634 : x
  2. Step 2: Convert to fraction form
    142,776/187,634 = 187,634/x
  3. Step 3: Cross multiply
    142,776x = 187,634 × 187,634
  4. Step 4: Simplify right side
    142,776x = 35,206,517,956
  5. Step 5: Solve for x
    x = 35,206,517,956/142,776
  6. Step 6: Final answer
    x = 246,585.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.