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Finding the Third Proportional to 75,192.18 and 167,196.02

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Solution

The third proportional to 75,192.18 and 167,196.02 is: 371,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192.18 : 167,196.02 = 167,196.02 : x
  2. Step 2: Convert to fraction form
    75,192.18/167,196.02 = 167,196.02/x
  3. Step 3: Cross multiply
    75,192.18x = 167,196.02 × 167,196.02
  4. Step 4: Simplify right side
    75,192.18x = 27,954,510,253.31
  5. Step 5: Solve for x
    x = 27,954,510,253.31/75,192.18
  6. Step 6: Final answer
    x = 371,774.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.