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Finding the Third Proportional to 87,506 and 187,460

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Solution

The third proportional to 87,506 and 187,460 is: 401,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,506 : 187,460 = 187,460 : x
  2. Step 2: Convert to fraction form
    87,506/187,460 = 187,460/x
  3. Step 3: Cross multiply
    87,506x = 187,460 × 187,460
  4. Step 4: Simplify right side
    87,506x = 35,141,251,600
  5. Step 5: Solve for x
    x = 35,141,251,600/87,506
  6. Step 6: Final answer
    x = 401,586.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.