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Finding the Third Proportional to 72,203.18 and 161,008.17

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Solution

The third proportional to 72,203.18 and 161,008.17 is: 359,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,203.18 : 161,008.17 = 161,008.17 : x
  2. Step 2: Convert to fraction form
    72,203.18/161,008.17 = 161,008.17/x
  3. Step 3: Cross multiply
    72,203.18x = 161,008.17 × 161,008.17
  4. Step 4: Simplify right side
    72,203.18x = 25,923,631,410.53
  5. Step 5: Solve for x
    x = 25,923,631,410.53/72,203.18
  6. Step 6: Final answer
    x = 359,037.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.