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Finding the Third Proportional to 63,264 and 136,328

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Solution

The third proportional to 63,264 and 136,328 is: 293,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,264 : 136,328 = 136,328 : x
  2. Step 2: Convert to fraction form
    63,264/136,328 = 136,328/x
  3. Step 3: Cross multiply
    63,264x = 136,328 × 136,328
  4. Step 4: Simplify right side
    63,264x = 18,585,323,584
  5. Step 5: Solve for x
    x = 18,585,323,584/63,264
  6. Step 6: Final answer
    x = 293,774.08

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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.