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Finding the Third Proportional to 124,570 and 195,782

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Solution

The third proportional to 124,570 and 195,782 is: 307,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,570 : 195,782 = 195,782 : x
  2. Step 2: Convert to fraction form
    124,570/195,782 = 195,782/x
  3. Step 3: Cross multiply
    124,570x = 195,782 × 195,782
  4. Step 4: Simplify right side
    124,570x = 38,330,591,524
  5. Step 5: Solve for x
    x = 38,330,591,524/124,570
  6. Step 6: Final answer
    x = 307,703.23

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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.