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Finding the Third Proportional to 73,110 and 159,442

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Solution

The third proportional to 73,110 and 159,442 is: 347,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,110 : 159,442 = 159,442 : x
  2. Step 2: Convert to fraction form
    73,110/159,442 = 159,442/x
  3. Step 3: Cross multiply
    73,110x = 159,442 × 159,442
  4. Step 4: Simplify right side
    73,110x = 25,421,751,364
  5. Step 5: Solve for x
    x = 25,421,751,364/73,110
  6. Step 6: Final answer
    x = 347,719.21

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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.