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Finding the Third Proportional to 75,016.13 and 163,974.38

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Solution

The third proportional to 75,016.13 and 163,974.38 is: 358,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,016.13 : 163,974.38 = 163,974.38 : x
  2. Step 2: Convert to fraction form
    75,016.13/163,974.38 = 163,974.38/x
  3. Step 3: Cross multiply
    75,016.13x = 163,974.38 × 163,974.38
  4. Step 4: Simplify right side
    75,016.13x = 26,887,595,656.64
  5. Step 5: Solve for x
    x = 26,887,595,656.64/75,016.13
  6. Step 6: Final answer
    x = 358,424.21

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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.