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Finding the Third Proportional to 142,061 and 215,684

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Solution

The third proportional to 142,061 and 215,684 is: 327,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,061 : 215,684 = 215,684 : x
  2. Step 2: Convert to fraction form
    142,061/215,684 = 215,684/x
  3. Step 3: Cross multiply
    142,061x = 215,684 × 215,684
  4. Step 4: Simplify right side
    142,061x = 46,519,587,856
  5. Step 5: Solve for x
    x = 46,519,587,856/142,061
  6. Step 6: Final answer
    x = 327,462.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.