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Finding the Third Proportional to 48,707 and 103,692

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Solution

The third proportional to 48,707 and 103,692 is: 220,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,707 : 103,692 = 103,692 : x
  2. Step 2: Convert to fraction form
    48,707/103,692 = 103,692/x
  3. Step 3: Cross multiply
    48,707x = 103,692 × 103,692
  4. Step 4: Simplify right side
    48,707x = 10,752,030,864
  5. Step 5: Solve for x
    x = 10,752,030,864/48,707
  6. Step 6: Final answer
    x = 220,749.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.