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Finding the Third Proportional to 110,013.75 and 171,595.13

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Solution

The third proportional to 110,013.75 and 171,595.13 is: 267,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,013.75 : 171,595.13 = 171,595.13 : x
  2. Step 2: Convert to fraction form
    110,013.75/171,595.13 = 171,595.13/x
  3. Step 3: Cross multiply
    110,013.75x = 171,595.13 × 171,595.13
  4. Step 4: Simplify right side
    110,013.75x = 29,444,886,923.77
  5. Step 5: Solve for x
    x = 29,444,886,923.77/110,013.75
  6. Step 6: Final answer
    x = 267,647.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.