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Finding the Third Proportional to 83,726 and 125,604

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Solution

The third proportional to 83,726 and 125,604 is: 188,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,726 : 125,604 = 125,604 : x
  2. Step 2: Convert to fraction form
    83,726/125,604 = 125,604/x
  3. Step 3: Cross multiply
    83,726x = 125,604 × 125,604
  4. Step 4: Simplify right side
    83,726x = 15,776,364,816
  5. Step 5: Solve for x
    x = 15,776,364,816/83,726
  6. Step 6: Final answer
    x = 188,428.50

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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.