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Finding the Third Proportional to 60,535 and 131,275

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Solution

The third proportional to 60,535 and 131,275 is: 284,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,535 : 131,275 = 131,275 : x
  2. Step 2: Convert to fraction form
    60,535/131,275 = 131,275/x
  3. Step 3: Cross multiply
    60,535x = 131,275 × 131,275
  4. Step 4: Simplify right side
    60,535x = 17,233,125,625
  5. Step 5: Solve for x
    x = 17,233,125,625/60,535
  6. Step 6: Final answer
    x = 284,680.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.