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Finding the Third Proportional to 83,295 and 124,888.50

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Solution

The third proportional to 83,295 and 124,888.50 is: 187,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295 : 124,888.50 = 124,888.50 : x
  2. Step 2: Convert to fraction form
    83,295/124,888.50 = 124,888.50/x
  3. Step 3: Cross multiply
    83,295x = 124,888.50 × 124,888.50
  4. Step 4: Simplify right side
    83,295x = 15,597,137,432.25
  5. Step 5: Solve for x
    x = 15,597,137,432.25/83,295
  6. Step 6: Final answer
    x = 187,251.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.