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Finding the Third Proportional to 63,827 and 136,342

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Solution

The third proportional to 63,827 and 136,342 is: 291,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,827 : 136,342 = 136,342 : x
  2. Step 2: Convert to fraction form
    63,827/136,342 = 136,342/x
  3. Step 3: Cross multiply
    63,827x = 136,342 × 136,342
  4. Step 4: Simplify right side
    63,827x = 18,589,140,964
  5. Step 5: Solve for x
    x = 18,589,140,964/63,827
  6. Step 6: Final answer
    x = 291,242.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.