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Finding the Third Proportional to 74,132 and 157,661

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Solution

The third proportional to 74,132 and 157,661 is: 335,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,132 : 157,661 = 157,661 : x
  2. Step 2: Convert to fraction form
    74,132/157,661 = 157,661/x
  3. Step 3: Cross multiply
    74,132x = 157,661 × 157,661
  4. Step 4: Simplify right side
    74,132x = 24,856,990,921
  5. Step 5: Solve for x
    x = 24,856,990,921/74,132
  6. Step 6: Final answer
    x = 335,307.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.