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Finding the Third Proportional to 75,292 and 110,112

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Solution

The third proportional to 75,292 and 110,112 is: 161,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,292 : 110,112 = 110,112 : x
  2. Step 2: Convert to fraction form
    75,292/110,112 = 110,112/x
  3. Step 3: Cross multiply
    75,292x = 110,112 × 110,112
  4. Step 4: Simplify right side
    75,292x = 12,124,652,544
  5. Step 5: Solve for x
    x = 12,124,652,544/75,292
  6. Step 6: Final answer
    x = 161,035.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.