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Finding the Third Proportional to 110,166 and 148,641

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Solution

The third proportional to 110,166 and 148,641 is: 200,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,166 : 148,641 = 148,641 : x
  2. Step 2: Convert to fraction form
    110,166/148,641 = 148,641/x
  3. Step 3: Cross multiply
    110,166x = 148,641 × 148,641
  4. Step 4: Simplify right side
    110,166x = 22,094,146,881
  5. Step 5: Solve for x
    x = 22,094,146,881/110,166
  6. Step 6: Final answer
    x = 200,553.23

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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.