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Finding the Third Proportional to 84,537 and 126,540

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Solution

The third proportional to 84,537 and 126,540 is: 189,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,537 : 126,540 = 126,540 : x
  2. Step 2: Convert to fraction form
    84,537/126,540 = 126,540/x
  3. Step 3: Cross multiply
    84,537x = 126,540 × 126,540
  4. Step 4: Simplify right side
    84,537x = 16,012,371,600
  5. Step 5: Solve for x
    x = 16,012,371,600/84,537
  6. Step 6: Final answer
    x = 189,412.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.