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Finding the Third Proportional to 48,656 and 73,200

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Solution

The third proportional to 48,656 and 73,200 is: 110,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656 : 73,200 = 73,200 : x
  2. Step 2: Convert to fraction form
    48,656/73,200 = 73,200/x
  3. Step 3: Cross multiply
    48,656x = 73,200 × 73,200
  4. Step 4: Simplify right side
    48,656x = 5,358,240,000
  5. Step 5: Solve for x
    x = 5,358,240,000/48,656
  6. Step 6: Final answer
    x = 110,124.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.