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Finding the Third Proportional to 129,382 and 197,527

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Solution

The third proportional to 129,382 and 197,527 is: 301,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,382 : 197,527 = 197,527 : x
  2. Step 2: Convert to fraction form
    129,382/197,527 = 197,527/x
  3. Step 3: Cross multiply
    129,382x = 197,527 × 197,527
  4. Step 4: Simplify right side
    129,382x = 39,016,915,729
  5. Step 5: Solve for x
    x = 39,016,915,729/129,382
  6. Step 6: Final answer
    x = 301,563.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.