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Finding the Third Proportional to 74,292 and 115,086

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Solution

The third proportional to 74,292 and 115,086 is: 178,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,292 : 115,086 = 115,086 : x
  2. Step 2: Convert to fraction form
    74,292/115,086 = 115,086/x
  3. Step 3: Cross multiply
    74,292x = 115,086 × 115,086
  4. Step 4: Simplify right side
    74,292x = 13,244,787,396
  5. Step 5: Solve for x
    x = 13,244,787,396/74,292
  6. Step 6: Final answer
    x = 178,280.13

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Why These Related Problems?

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