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Finding the Third Proportional to 95,510 and 129,251

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Solution

The third proportional to 95,510 and 129,251 is: 174,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,510 : 129,251 = 129,251 : x
  2. Step 2: Convert to fraction form
    95,510/129,251 = 129,251/x
  3. Step 3: Cross multiply
    95,510x = 129,251 × 129,251
  4. Step 4: Simplify right side
    95,510x = 16,705,821,001
  5. Step 5: Solve for x
    x = 16,705,821,001/95,510
  6. Step 6: Final answer
    x = 174,911.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.