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Finding the Third Proportional to 75,251 and 110,629

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Solution

The third proportional to 75,251 and 110,629 is: 162,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251 : 110,629 = 110,629 : x
  2. Step 2: Convert to fraction form
    75,251/110,629 = 110,629/x
  3. Step 3: Cross multiply
    75,251x = 110,629 × 110,629
  4. Step 4: Simplify right side
    75,251x = 12,238,775,641
  5. Step 5: Solve for x
    x = 12,238,775,641/75,251
  6. Step 6: Final answer
    x = 162,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.