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Finding the Third Proportional to 52,218 and 78,099

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Solution

The third proportional to 52,218 and 78,099 is: 116,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,218 : 78,099 = 78,099 : x
  2. Step 2: Convert to fraction form
    52,218/78,099 = 78,099/x
  3. Step 3: Cross multiply
    52,218x = 78,099 × 78,099
  4. Step 4: Simplify right side
    52,218x = 6,099,453,801
  5. Step 5: Solve for x
    x = 6,099,453,801/52,218
  6. Step 6: Final answer
    x = 116,807.50

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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.