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Finding the Third Proportional to 74,414 and 115,077

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Solution

The third proportional to 74,414 and 115,077 is: 177,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414 : 115,077 = 115,077 : x
  2. Step 2: Convert to fraction form
    74,414/115,077 = 115,077/x
  3. Step 3: Cross multiply
    74,414x = 115,077 × 115,077
  4. Step 4: Simplify right side
    74,414x = 13,242,715,929
  5. Step 5: Solve for x
    x = 13,242,715,929/74,414
  6. Step 6: Final answer
    x = 177,960.01

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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.