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Finding the Third Proportional to 73,940 and 162,628

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Solution

The third proportional to 73,940 and 162,628 is: 357,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,940 : 162,628 = 162,628 : x
  2. Step 2: Convert to fraction form
    73,940/162,628 = 162,628/x
  3. Step 3: Cross multiply
    73,940x = 162,628 × 162,628
  4. Step 4: Simplify right side
    73,940x = 26,447,866,384
  5. Step 5: Solve for x
    x = 26,447,866,384/73,940
  6. Step 6: Final answer
    x = 357,693.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.