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Finding the Third Proportional to 129,597 and 202,860

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Solution

The third proportional to 129,597 and 202,860 is: 317,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,597 : 202,860 = 202,860 : x
  2. Step 2: Convert to fraction form
    129,597/202,860 = 202,860/x
  3. Step 3: Cross multiply
    129,597x = 202,860 × 202,860
  4. Step 4: Simplify right side
    129,597x = 41,152,179,600
  5. Step 5: Solve for x
    x = 41,152,179,600/129,597
  6. Step 6: Final answer
    x = 317,539.60

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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.