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Finding the Third Proportional to 110,168 and 148,642

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Solution

The third proportional to 110,168 and 148,642 is: 200,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,168 : 148,642 = 148,642 : x
  2. Step 2: Convert to fraction form
    110,168/148,642 = 148,642/x
  3. Step 3: Cross multiply
    110,168x = 148,642 × 148,642
  4. Step 4: Simplify right side
    110,168x = 22,094,444,164
  5. Step 5: Solve for x
    x = 22,094,444,164/110,168
  6. Step 6: Final answer
    x = 200,552.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.