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Finding the Third Proportional to 63,348 and 136,416

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Solution

The third proportional to 63,348 and 136,416 is: 293,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,348 : 136,416 = 136,416 : x
  2. Step 2: Convert to fraction form
    63,348/136,416 = 136,416/x
  3. Step 3: Cross multiply
    63,348x = 136,416 × 136,416
  4. Step 4: Simplify right side
    63,348x = 18,609,325,056
  5. Step 5: Solve for x
    x = 18,609,325,056/63,348
  6. Step 6: Final answer
    x = 293,763.42

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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.