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Finding the Third Proportional to 81,282 and 125,604

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Solution

The third proportional to 81,282 and 125,604 is: 194,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282 : 125,604 = 125,604 : x
  2. Step 2: Convert to fraction form
    81,282/125,604 = 125,604/x
  3. Step 3: Cross multiply
    81,282x = 125,604 × 125,604
  4. Step 4: Simplify right side
    81,282x = 15,776,364,816
  5. Step 5: Solve for x
    x = 15,776,364,816/81,282
  6. Step 6: Final answer
    x = 194,094.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.