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Finding the Third Proportional to 84,952 and 127,642

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Solution

The third proportional to 84,952 and 127,642 is: 191,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,952 : 127,642 = 127,642 : x
  2. Step 2: Convert to fraction form
    84,952/127,642 = 127,642/x
  3. Step 3: Cross multiply
    84,952x = 127,642 × 127,642
  4. Step 4: Simplify right side
    84,952x = 16,292,480,164
  5. Step 5: Solve for x
    x = 16,292,480,164/84,952
  6. Step 6: Final answer
    x = 191,784.54

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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.