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Finding the Third Proportional to 87,770 and 141,335

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Solution

The third proportional to 87,770 and 141,335 is: 227,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,770 : 141,335 = 141,335 : x
  2. Step 2: Convert to fraction form
    87,770/141,335 = 141,335/x
  3. Step 3: Cross multiply
    87,770x = 141,335 × 141,335
  4. Step 4: Simplify right side
    87,770x = 19,975,582,225
  5. Step 5: Solve for x
    x = 19,975,582,225/87,770
  6. Step 6: Final answer
    x = 227,590.09

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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.