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Finding the Third Proportional to 75,180 and 157,650

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Solution

The third proportional to 75,180 and 157,650 is: 330,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,180 : 157,650 = 157,650 : x
  2. Step 2: Convert to fraction form
    75,180/157,650 = 157,650/x
  3. Step 3: Cross multiply
    75,180x = 157,650 × 157,650
  4. Step 4: Simplify right side
    75,180x = 24,853,522,500
  5. Step 5: Solve for x
    x = 24,853,522,500/75,180
  6. Step 6: Final answer
    x = 330,586.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.