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Finding the Third Proportional to 84,952 and 127,640

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Solution

The third proportional to 84,952 and 127,640 is: 191,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,952 : 127,640 = 127,640 : x
  2. Step 2: Convert to fraction form
    84,952/127,640 = 127,640/x
  3. Step 3: Cross multiply
    84,952x = 127,640 × 127,640
  4. Step 4: Simplify right side
    84,952x = 16,291,969,600
  5. Step 5: Solve for x
    x = 16,291,969,600/84,952
  6. Step 6: Final answer
    x = 191,778.53

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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.