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Finding the Third Proportional to 42,998.75 and 101,177

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Solution

The third proportional to 42,998.75 and 101,177 is: 238,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,998.75 : 101,177 = 101,177 : x
  2. Step 2: Convert to fraction form
    42,998.75/101,177 = 101,177/x
  3. Step 3: Cross multiply
    42,998.75x = 101,177 × 101,177
  4. Step 4: Simplify right side
    42,998.75x = 10,236,785,329
  5. Step 5: Solve for x
    x = 10,236,785,329/42,998.75
  6. Step 6: Final answer
    x = 238,071.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.