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Finding the Third Proportional to 107,931 and 235,514

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Solution

The third proportional to 107,931 and 235,514 is: 513,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,931 : 235,514 = 235,514 : x
  2. Step 2: Convert to fraction form
    107,931/235,514 = 235,514/x
  3. Step 3: Cross multiply
    107,931x = 235,514 × 235,514
  4. Step 4: Simplify right side
    107,931x = 55,466,844,196
  5. Step 5: Solve for x
    x = 55,466,844,196/107,931
  6. Step 6: Final answer
    x = 513,910.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.