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Finding the Third Proportional to 62,549 and 134,596

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Solution

The third proportional to 62,549 and 134,596 is: 289,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,549 : 134,596 = 134,596 : x
  2. Step 2: Convert to fraction form
    62,549/134,596 = 134,596/x
  3. Step 3: Cross multiply
    62,549x = 134,596 × 134,596
  4. Step 4: Simplify right side
    62,549x = 18,116,083,216
  5. Step 5: Solve for x
    x = 18,116,083,216/62,549
  6. Step 6: Final answer
    x = 289,630.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.