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Finding the Third Proportional to 75,254 and 110,632

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Solution

The third proportional to 75,254 and 110,632 is: 162,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,254 : 110,632 = 110,632 : x
  2. Step 2: Convert to fraction form
    75,254/110,632 = 110,632/x
  3. Step 3: Cross multiply
    75,254x = 110,632 × 110,632
  4. Step 4: Simplify right side
    75,254x = 12,239,439,424
  5. Step 5: Solve for x
    x = 12,239,439,424/75,254
  6. Step 6: Final answer
    x = 162,641.71

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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.