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Finding the Third Proportional to 73,499 and 161,003

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Solution

The third proportional to 73,499 and 161,003 is: 352,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,499 : 161,003 = 161,003 : x
  2. Step 2: Convert to fraction form
    73,499/161,003 = 161,003/x
  3. Step 3: Cross multiply
    73,499x = 161,003 × 161,003
  4. Step 4: Simplify right side
    73,499x = 25,921,966,009
  5. Step 5: Solve for x
    x = 25,921,966,009/73,499
  6. Step 6: Final answer
    x = 352,684.61

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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.