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Finding the Third Proportional to 124,568 and 195,780

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Solution

The third proportional to 124,568 and 195,780 is: 307,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,568 : 195,780 = 195,780 : x
  2. Step 2: Convert to fraction form
    124,568/195,780 = 195,780/x
  3. Step 3: Cross multiply
    124,568x = 195,780 × 195,780
  4. Step 4: Simplify right side
    124,568x = 38,329,808,400
  5. Step 5: Solve for x
    x = 38,329,808,400/124,568
  6. Step 6: Final answer
    x = 307,701.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.