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Finding the Third Proportional to 52,014 and 78,857

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Solution

The third proportional to 52,014 and 78,857 is: 119,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014 : 78,857 = 78,857 : x
  2. Step 2: Convert to fraction form
    52,014/78,857 = 78,857/x
  3. Step 3: Cross multiply
    52,014x = 78,857 × 78,857
  4. Step 4: Simplify right side
    52,014x = 6,218,426,449
  5. Step 5: Solve for x
    x = 6,218,426,449/52,014
  6. Step 6: Final answer
    x = 119,552.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.