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Finding the Third Proportional to 87,537 and 190,914

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Solution

The third proportional to 87,537 and 190,914 is: 416,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,537 : 190,914 = 190,914 : x
  2. Step 2: Convert to fraction form
    87,537/190,914 = 190,914/x
  3. Step 3: Cross multiply
    87,537x = 190,914 × 190,914
  4. Step 4: Simplify right side
    87,537x = 36,448,155,396
  5. Step 5: Solve for x
    x = 36,448,155,396/87,537
  6. Step 6: Final answer
    x = 416,374.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.