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Finding the Third Proportional to 52,269 and 78,890

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Solution

The third proportional to 52,269 and 78,890 is: 119,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,269 : 78,890 = 78,890 : x
  2. Step 2: Convert to fraction form
    52,269/78,890 = 78,890/x
  3. Step 3: Cross multiply
    52,269x = 78,890 × 78,890
  4. Step 4: Simplify right side
    52,269x = 6,223,632,100
  5. Step 5: Solve for x
    x = 6,223,632,100/52,269
  6. Step 6: Final answer
    x = 119,069.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.