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Finding the Third Proportional to 62,853.47 and 136,778.63

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Solution

The third proportional to 62,853.47 and 136,778.63 is: 297,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,853.47 : 136,778.63 = 136,778.63 : x
  2. Step 2: Convert to fraction form
    62,853.47/136,778.63 = 136,778.63/x
  3. Step 3: Cross multiply
    62,853.47x = 136,778.63 × 136,778.63
  4. Step 4: Simplify right side
    62,853.47x = 18,708,392,256.89
  5. Step 5: Solve for x
    x = 18,708,392,256.89/62,853.47
  6. Step 6: Final answer
    x = 297,650.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.