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Finding the Third Proportional to 130,636 and 195,448

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Solution

The third proportional to 130,636 and 195,448 is: 292,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,636 : 195,448 = 195,448 : x
  2. Step 2: Convert to fraction form
    130,636/195,448 = 195,448/x
  3. Step 3: Cross multiply
    130,636x = 195,448 × 195,448
  4. Step 4: Simplify right side
    130,636x = 38,199,920,704
  5. Step 5: Solve for x
    x = 38,199,920,704/130,636
  6. Step 6: Final answer
    x = 292,414.96

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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.