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Finding the Third Proportional to 52,214 and 78,093

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Solution

The third proportional to 52,214 and 78,093 is: 116,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214 : 78,093 = 78,093 : x
  2. Step 2: Convert to fraction form
    52,214/78,093 = 78,093/x
  3. Step 3: Cross multiply
    52,214x = 78,093 × 78,093
  4. Step 4: Simplify right side
    52,214x = 6,098,516,649
  5. Step 5: Solve for x
    x = 6,098,516,649/52,214
  6. Step 6: Final answer
    x = 116,798.50

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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.