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Finding the Third Proportional to 48,049 and 103,202

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Solution

The third proportional to 48,049 and 103,202 is: 221,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,049 : 103,202 = 103,202 : x
  2. Step 2: Convert to fraction form
    48,049/103,202 = 103,202/x
  3. Step 3: Cross multiply
    48,049x = 103,202 × 103,202
  4. Step 4: Simplify right side
    48,049x = 10,650,652,804
  5. Step 5: Solve for x
    x = 10,650,652,804/48,049
  6. Step 6: Final answer
    x = 221,662.32

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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.