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Finding the Third Proportional to 87,334 and 187,130

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Solution

The third proportional to 87,334 and 187,130 is: 400,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,334 : 187,130 = 187,130 : x
  2. Step 2: Convert to fraction form
    87,334/187,130 = 187,130/x
  3. Step 3: Cross multiply
    87,334x = 187,130 × 187,130
  4. Step 4: Simplify right side
    87,334x = 35,017,636,900
  5. Step 5: Solve for x
    x = 35,017,636,900/87,334
  6. Step 6: Final answer
    x = 400,962.25

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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.