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Finding the Third Proportional to 130,742 and 195,600

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Solution

The third proportional to 130,742 and 195,600 is: 292,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,742 : 195,600 = 195,600 : x
  2. Step 2: Convert to fraction form
    130,742/195,600 = 195,600/x
  3. Step 3: Cross multiply
    130,742x = 195,600 × 195,600
  4. Step 4: Simplify right side
    130,742x = 38,259,360,000
  5. Step 5: Solve for x
    x = 38,259,360,000/130,742
  6. Step 6: Final answer
    x = 292,632.51

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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.