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Finding the Third Proportional to 62,534 and 136,548

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Solution

The third proportional to 62,534 and 136,548 is: 298,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,534 : 136,548 = 136,548 : x
  2. Step 2: Convert to fraction form
    62,534/136,548 = 136,548/x
  3. Step 3: Cross multiply
    62,534x = 136,548 × 136,548
  4. Step 4: Simplify right side
    62,534x = 18,645,356,304
  5. Step 5: Solve for x
    x = 18,645,356,304/62,534
  6. Step 6: Final answer
    x = 298,163.50

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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.