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Finding the Third Proportional to 75,276 and 160,920

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Solution

The third proportional to 75,276 and 160,920 is: 344,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276 : 160,920 = 160,920 : x
  2. Step 2: Convert to fraction form
    75,276/160,920 = 160,920/x
  3. Step 3: Cross multiply
    75,276x = 160,920 × 160,920
  4. Step 4: Simplify right side
    75,276x = 25,895,246,400
  5. Step 5: Solve for x
    x = 25,895,246,400/75,276
  6. Step 6: Final answer
    x = 344,004.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.