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Finding the Third Proportional to 130,736 and 195,591

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Solution

The third proportional to 130,736 and 195,591 is: 292,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,736 : 195,591 = 195,591 : x
  2. Step 2: Convert to fraction form
    130,736/195,591 = 195,591/x
  3. Step 3: Cross multiply
    130,736x = 195,591 × 195,591
  4. Step 4: Simplify right side
    130,736x = 38,255,839,281
  5. Step 5: Solve for x
    x = 38,255,839,281/130,736
  6. Step 6: Final answer
    x = 292,619.01

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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.