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Finding the Third Proportional to 63,382 and 136,124

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Solution

The third proportional to 63,382 and 136,124 is: 292,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,382 : 136,124 = 136,124 : x
  2. Step 2: Convert to fraction form
    63,382/136,124 = 136,124/x
  3. Step 3: Cross multiply
    63,382x = 136,124 × 136,124
  4. Step 4: Simplify right side
    63,382x = 18,529,743,376
  5. Step 5: Solve for x
    x = 18,529,743,376/63,382
  6. Step 6: Final answer
    x = 292,350.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.