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Finding the Third Proportional to 48,614 and 100,597

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Solution

The third proportional to 48,614 and 100,597 is: 208,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614 : 100,597 = 100,597 : x
  2. Step 2: Convert to fraction form
    48,614/100,597 = 100,597/x
  3. Step 3: Cross multiply
    48,614x = 100,597 × 100,597
  4. Step 4: Simplify right side
    48,614x = 10,119,756,409
  5. Step 5: Solve for x
    x = 10,119,756,409/48,614
  6. Step 6: Final answer
    x = 208,165.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.