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Finding the Third Proportional to 85,514 and 125,127

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Solution

The third proportional to 85,514 and 125,127 is: 183,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,514 : 125,127 = 125,127 : x
  2. Step 2: Convert to fraction form
    85,514/125,127 = 125,127/x
  3. Step 3: Cross multiply
    85,514x = 125,127 × 125,127
  4. Step 4: Simplify right side
    85,514x = 15,656,766,129
  5. Step 5: Solve for x
    x = 15,656,766,129/85,514
  6. Step 6: Final answer
    x = 183,090.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.