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Finding the Third Proportional to 48,904 and 71,050

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Solution

The third proportional to 48,904 and 71,050 is: 103,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,904 : 71,050 = 71,050 : x
  2. Step 2: Convert to fraction form
    48,904/71,050 = 71,050/x
  3. Step 3: Cross multiply
    48,904x = 71,050 × 71,050
  4. Step 4: Simplify right side
    48,904x = 5,048,102,500
  5. Step 5: Solve for x
    x = 5,048,102,500/48,904
  6. Step 6: Final answer
    x = 103,224.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.