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Finding the Third Proportional to 142,680 and 155,134

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Solution

The third proportional to 142,680 and 155,134 is: 168,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,680 : 155,134 = 155,134 : x
  2. Step 2: Convert to fraction form
    142,680/155,134 = 155,134/x
  3. Step 3: Cross multiply
    142,680x = 155,134 × 155,134
  4. Step 4: Simplify right side
    142,680x = 24,066,557,956
  5. Step 5: Solve for x
    x = 24,066,557,956/142,680
  6. Step 6: Final answer
    x = 168,675.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.