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Finding the Third Proportional to 63,218 and 135,076

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Solution

The third proportional to 63,218 and 135,076 is: 288,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,218 : 135,076 = 135,076 : x
  2. Step 2: Convert to fraction form
    63,218/135,076 = 135,076/x
  3. Step 3: Cross multiply
    63,218x = 135,076 × 135,076
  4. Step 4: Simplify right side
    63,218x = 18,245,525,776
  5. Step 5: Solve for x
    x = 18,245,525,776/63,218
  6. Step 6: Final answer
    x = 288,612.83

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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.