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Finding the Third Proportional to 73,120 and 159,464

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Solution

The third proportional to 73,120 and 159,464 is: 347,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,120 : 159,464 = 159,464 : x
  2. Step 2: Convert to fraction form
    73,120/159,464 = 159,464/x
  3. Step 3: Cross multiply
    73,120x = 159,464 × 159,464
  4. Step 4: Simplify right side
    73,120x = 25,428,767,296
  5. Step 5: Solve for x
    x = 25,428,767,296/73,120
  6. Step 6: Final answer
    x = 347,767.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.