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Finding the Third Proportional to 62,749 and 134,597

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Solution

The third proportional to 62,749 and 134,597 is: 288,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,749 : 134,597 = 134,597 : x
  2. Step 2: Convert to fraction form
    62,749/134,597 = 134,597/x
  3. Step 3: Cross multiply
    62,749x = 134,597 × 134,597
  4. Step 4: Simplify right side
    62,749x = 18,116,352,409
  5. Step 5: Solve for x
    x = 18,116,352,409/62,749
  6. Step 6: Final answer
    x = 288,711.41

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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.