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Finding the Third Proportional to 92,080 and 142,192

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Solution

The third proportional to 92,080 and 142,192 is: 219,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,080 : 142,192 = 142,192 : x
  2. Step 2: Convert to fraction form
    92,080/142,192 = 142,192/x
  3. Step 3: Cross multiply
    92,080x = 142,192 × 142,192
  4. Step 4: Simplify right side
    92,080x = 20,218,564,864
  5. Step 5: Solve for x
    x = 20,218,564,864/92,080
  6. Step 6: Final answer
    x = 219,576.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.