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Finding the Third Proportional to 81,934 and 130,281

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Solution

The third proportional to 81,934 and 130,281 is: 207,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,934 : 130,281 = 130,281 : x
  2. Step 2: Convert to fraction form
    81,934/130,281 = 130,281/x
  3. Step 3: Cross multiply
    81,934x = 130,281 × 130,281
  4. Step 4: Simplify right side
    81,934x = 16,973,138,961
  5. Step 5: Solve for x
    x = 16,973,138,961/81,934
  6. Step 6: Final answer
    x = 207,156.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.