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Finding the Third Proportional to 118,636 and 160,134

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Solution

The third proportional to 118,636 and 160,134 is: 216,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,636 : 160,134 = 160,134 : x
  2. Step 2: Convert to fraction form
    118,636/160,134 = 160,134/x
  3. Step 3: Cross multiply
    118,636x = 160,134 × 160,134
  4. Step 4: Simplify right side
    118,636x = 25,642,897,956
  5. Step 5: Solve for x
    x = 25,642,897,956/118,636
  6. Step 6: Final answer
    x = 216,147.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.