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Finding the Third Proportional to 60,535 and 129,305

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Solution

The third proportional to 60,535 and 129,305 is: 276,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,535 : 129,305 = 129,305 : x
  2. Step 2: Convert to fraction form
    60,535/129,305 = 129,305/x
  3. Step 3: Cross multiply
    60,535x = 129,305 × 129,305
  4. Step 4: Simplify right side
    60,535x = 16,719,783,025
  5. Step 5: Solve for x
    x = 16,719,783,025/60,535
  6. Step 6: Final answer
    x = 276,200.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.