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Finding the Third Proportional to 52,518 and 78,816

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Solution

The third proportional to 52,518 and 78,816 is: 118,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,518 : 78,816 = 78,816 : x
  2. Step 2: Convert to fraction form
    52,518/78,816 = 78,816/x
  3. Step 3: Cross multiply
    52,518x = 78,816 × 78,816
  4. Step 4: Simplify right side
    52,518x = 6,211,961,856
  5. Step 5: Solve for x
    x = 6,211,961,856/52,518
  6. Step 6: Final answer
    x = 118,282.53

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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.