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Finding the Third Proportional to 87,776 and 125,433

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Solution

The third proportional to 87,776 and 125,433 is: 179,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,776 : 125,433 = 125,433 : x
  2. Step 2: Convert to fraction form
    87,776/125,433 = 125,433/x
  3. Step 3: Cross multiply
    87,776x = 125,433 × 125,433
  4. Step 4: Simplify right side
    87,776x = 15,733,437,489
  5. Step 5: Solve for x
    x = 15,733,437,489/87,776
  6. Step 6: Final answer
    x = 179,245.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.