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Finding the Third Proportional to 63,202 and 136,540

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Solution

The third proportional to 63,202 and 136,540 is: 294,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,202 : 136,540 = 136,540 : x
  2. Step 2: Convert to fraction form
    63,202/136,540 = 136,540/x
  3. Step 3: Cross multiply
    63,202x = 136,540 × 136,540
  4. Step 4: Simplify right side
    63,202x = 18,643,171,600
  5. Step 5: Solve for x
    x = 18,643,171,600/63,202
  6. Step 6: Final answer
    x = 294,977.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.