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Finding the Third Proportional to 40,076 and 85,514

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Solution

The third proportional to 40,076 and 85,514 is: 182,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,076 : 85,514 = 85,514 : x
  2. Step 2: Convert to fraction form
    40,076/85,514 = 85,514/x
  3. Step 3: Cross multiply
    40,076x = 85,514 × 85,514
  4. Step 4: Simplify right side
    40,076x = 7,312,644,196
  5. Step 5: Solve for x
    x = 7,312,644,196/40,076
  6. Step 6: Final answer
    x = 182,469.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.