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Finding the Third Proportional to 52,237 and 112,331

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Solution

The third proportional to 52,237 and 112,331 is: 241,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,237 : 112,331 = 112,331 : x
  2. Step 2: Convert to fraction form
    52,237/112,331 = 112,331/x
  3. Step 3: Cross multiply
    52,237x = 112,331 × 112,331
  4. Step 4: Simplify right side
    52,237x = 12,618,253,561
  5. Step 5: Solve for x
    x = 12,618,253,561/52,237
  6. Step 6: Final answer
    x = 241,557.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.