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Finding the Third Proportional to 85,229 and 127,357

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Solution

The third proportional to 85,229 and 127,357 is: 190,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,229 : 127,357 = 127,357 : x
  2. Step 2: Convert to fraction form
    85,229/127,357 = 127,357/x
  3. Step 3: Cross multiply
    85,229x = 127,357 × 127,357
  4. Step 4: Simplify right side
    85,229x = 16,219,805,449
  5. Step 5: Solve for x
    x = 16,219,805,449/85,229
  6. Step 6: Final answer
    x = 190,308.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.