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Finding the Third Proportional to 52,263 and 78,883.88

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Solution

The third proportional to 52,263 and 78,883.88 is: 119,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,263 : 78,883.88 = 78,883.88 : x
  2. Step 2: Convert to fraction form
    52,263/78,883.88 = 78,883.88/x
  3. Step 3: Cross multiply
    52,263x = 78,883.88 × 78,883.88
  4. Step 4: Simplify right side
    52,263x = 6,222,665,735.02
  5. Step 5: Solve for x
    x = 6,222,665,735.02/52,263
  6. Step 6: Final answer
    x = 119,064.46

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Why These Related Problems?

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