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

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Solution

The third proportional to 84,537 and 126,537 is: 189,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,537 : 126,537 = 126,537 : x
  2. Step 2: Convert to fraction form
    84,537/126,537 = 126,537/x
  3. Step 3: Cross multiply
    84,537x = 126,537 × 126,537
  4. Step 4: Simplify right side
    84,537x = 16,011,612,369
  5. Step 5: Solve for x
    x = 16,011,612,369/84,537
  6. Step 6: Final answer
    x = 189,403.60

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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.