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Finding the Third Proportional to 60,383 and 142,079

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Solution

The third proportional to 60,383 and 142,079 is: 334,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,383 : 142,079 = 142,079 : x
  2. Step 2: Convert to fraction form
    60,383/142,079 = 142,079/x
  3. Step 3: Cross multiply
    60,383x = 142,079 × 142,079
  4. Step 4: Simplify right side
    60,383x = 20,186,442,241
  5. Step 5: Solve for x
    x = 20,186,442,241/60,383
  6. Step 6: Final answer
    x = 334,306.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.