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Finding the Third Proportional to 63,566 and 135,352

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Solution

The third proportional to 63,566 and 135,352 is: 288,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,566 : 135,352 = 135,352 : x
  2. Step 2: Convert to fraction form
    63,566/135,352 = 135,352/x
  3. Step 3: Cross multiply
    63,566x = 135,352 × 135,352
  4. Step 4: Simplify right side
    63,566x = 18,320,163,904
  5. Step 5: Solve for x
    x = 18,320,163,904/63,566
  6. Step 6: Final answer
    x = 288,206.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.