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Finding the Third Proportional to 87,814 and 141,417

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Solution

The third proportional to 87,814 and 141,417 is: 227,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,814 : 141,417 = 141,417 : x
  2. Step 2: Convert to fraction form
    87,814/141,417 = 141,417/x
  3. Step 3: Cross multiply
    87,814x = 141,417 × 141,417
  4. Step 4: Simplify right side
    87,814x = 19,998,767,889
  5. Step 5: Solve for x
    x = 19,998,767,889/87,814
  6. Step 6: Final answer
    x = 227,740.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.