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Finding the Third Proportional to 60,622 and 131,737

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Solution

The third proportional to 60,622 and 131,737 is: 286,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,622 : 131,737 = 131,737 : x
  2. Step 2: Convert to fraction form
    60,622/131,737 = 131,737/x
  3. Step 3: Cross multiply
    60,622x = 131,737 × 131,737
  4. Step 4: Simplify right side
    60,622x = 17,354,637,169
  5. Step 5: Solve for x
    x = 17,354,637,169/60,622
  6. Step 6: Final answer
    x = 286,276.22

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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.