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Finding the Third Proportional to 73,605 and 159,411

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Solution

The third proportional to 73,605 and 159,411 is: 345,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,605 : 159,411 = 159,411 : x
  2. Step 2: Convert to fraction form
    73,605/159,411 = 159,411/x
  3. Step 3: Cross multiply
    73,605x = 159,411 × 159,411
  4. Step 4: Simplify right side
    73,605x = 25,411,866,921
  5. Step 5: Solve for x
    x = 25,411,866,921/73,605
  6. Step 6: Final answer
    x = 345,246.48

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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.