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Finding the Third Proportional to 77,031 and 161,514

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Solution

The third proportional to 77,031 and 161,514 is: 338,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031 : 161,514 = 161,514 : x
  2. Step 2: Convert to fraction form
    77,031/161,514 = 161,514/x
  3. Step 3: Cross multiply
    77,031x = 161,514 × 161,514
  4. Step 4: Simplify right side
    77,031x = 26,086,772,196
  5. Step 5: Solve for x
    x = 26,086,772,196/77,031
  6. Step 6: Final answer
    x = 338,652.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.