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Finding the Third Proportional to 67,873.50 and 90,648

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Solution

The third proportional to 67,873.50 and 90,648 is: 121,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,873.50 : 90,648 = 90,648 : x
  2. Step 2: Convert to fraction form
    67,873.50/90,648 = 90,648/x
  3. Step 3: Cross multiply
    67,873.50x = 90,648 × 90,648
  4. Step 4: Simplify right side
    67,873.50x = 8,217,059,904
  5. Step 5: Solve for x
    x = 8,217,059,904/67,873.50
  6. Step 6: Final answer
    x = 121,064.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.