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Finding the Third Proportional to 60,684 and 131,220

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Solution

The third proportional to 60,684 and 131,220 is: 283,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,684 : 131,220 = 131,220 : x
  2. Step 2: Convert to fraction form
    60,684/131,220 = 131,220/x
  3. Step 3: Cross multiply
    60,684x = 131,220 × 131,220
  4. Step 4: Simplify right side
    60,684x = 17,218,688,400
  5. Step 5: Solve for x
    x = 17,218,688,400/60,684
  6. Step 6: Final answer
    x = 283,743.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.