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Finding the Third Proportional to 48,071 and 103,246

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Solution

The third proportional to 48,071 and 103,246 is: 221,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,071 : 103,246 = 103,246 : x
  2. Step 2: Convert to fraction form
    48,071/103,246 = 103,246/x
  3. Step 3: Cross multiply
    48,071x = 103,246 × 103,246
  4. Step 4: Simplify right side
    48,071x = 10,659,736,516
  5. Step 5: Solve for x
    x = 10,659,736,516/48,071
  6. Step 6: Final answer
    x = 221,749.84

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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.