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Finding the Third Proportional to 73,944 and 162,264

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Solution

The third proportional to 73,944 and 162,264 is: 356,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,944 : 162,264 = 162,264 : x
  2. Step 2: Convert to fraction form
    73,944/162,264 = 162,264/x
  3. Step 3: Cross multiply
    73,944x = 162,264 × 162,264
  4. Step 4: Simplify right side
    73,944x = 26,329,605,696
  5. Step 5: Solve for x
    x = 26,329,605,696/73,944
  6. Step 6: Final answer
    x = 356,074.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.