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Finding the Third Proportional to 73,885 and 114,292

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Solution

The third proportional to 73,885 and 114,292 is: 176,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,885 : 114,292 = 114,292 : x
  2. Step 2: Convert to fraction form
    73,885/114,292 = 114,292/x
  3. Step 3: Cross multiply
    73,885x = 114,292 × 114,292
  4. Step 4: Simplify right side
    73,885x = 13,062,661,264
  5. Step 5: Solve for x
    x = 13,062,661,264/73,885
  6. Step 6: Final answer
    x = 176,797.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.