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Finding the Third Proportional to 52,440 and 80,217

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Solution

The third proportional to 52,440 and 80,217 is: 122,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,440 : 80,217 = 80,217 : x
  2. Step 2: Convert to fraction form
    52,440/80,217 = 80,217/x
  3. Step 3: Cross multiply
    52,440x = 80,217 × 80,217
  4. Step 4: Simplify right side
    52,440x = 6,434,767,089
  5. Step 5: Solve for x
    x = 6,434,767,089/52,440
  6. Step 6: Final answer
    x = 122,707.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.