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Finding the Third Proportional to 73,668 and 160,461

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Solution

The third proportional to 73,668 and 160,461 is: 349,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,668 : 160,461 = 160,461 : x
  2. Step 2: Convert to fraction form
    73,668/160,461 = 160,461/x
  3. Step 3: Cross multiply
    73,668x = 160,461 × 160,461
  4. Step 4: Simplify right side
    73,668x = 25,747,732,521
  5. Step 5: Solve for x
    x = 25,747,732,521/73,668
  6. Step 6: Final answer
    x = 349,510.41

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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.