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Finding the Third Proportional to 130,782 and 195,657

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Solution

The third proportional to 130,782 and 195,657 is: 292,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,782 : 195,657 = 195,657 : x
  2. Step 2: Convert to fraction form
    130,782/195,657 = 195,657/x
  3. Step 3: Cross multiply
    130,782x = 195,657 × 195,657
  4. Step 4: Simplify right side
    130,782x = 38,281,661,649
  5. Step 5: Solve for x
    x = 38,281,661,649/130,782
  6. Step 6: Final answer
    x = 292,713.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.