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Finding the Third Proportional to 73,491 and 159,510

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Solution

The third proportional to 73,491 and 159,510 is: 346,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,491 : 159,510 = 159,510 : x
  2. Step 2: Convert to fraction form
    73,491/159,510 = 159,510/x
  3. Step 3: Cross multiply
    73,491x = 159,510 × 159,510
  4. Step 4: Simplify right side
    73,491x = 25,443,440,100
  5. Step 5: Solve for x
    x = 25,443,440,100/73,491
  6. Step 6: Final answer
    x = 346,211.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.