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Finding the Third Proportional to 129,055 and 195,527

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Solution

The third proportional to 129,055 and 195,527 is: 296,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,055 : 195,527 = 195,527 : x
  2. Step 2: Convert to fraction form
    129,055/195,527 = 195,527/x
  3. Step 3: Cross multiply
    129,055x = 195,527 × 195,527
  4. Step 4: Simplify right side
    129,055x = 38,230,807,729
  5. Step 5: Solve for x
    x = 38,230,807,729/129,055
  6. Step 6: Final answer
    x = 296,236.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.