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Finding the Third Proportional to 50,292 and 69,261.75

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Solution

The third proportional to 50,292 and 69,261.75 is: 95,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,292 : 69,261.75 = 69,261.75 : x
  2. Step 2: Convert to fraction form
    50,292/69,261.75 = 69,261.75/x
  3. Step 3: Cross multiply
    50,292x = 69,261.75 × 69,261.75
  4. Step 4: Simplify right side
    50,292x = 4,797,190,013.06
  5. Step 5: Solve for x
    x = 4,797,190,013.06/50,292
  6. Step 6: Final answer
    x = 95,386.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.