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Finding the Third Proportional to 101,151 and 145,701

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Solution

The third proportional to 101,151 and 145,701 is: 209,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,151 : 145,701 = 145,701 : x
  2. Step 2: Convert to fraction form
    101,151/145,701 = 145,701/x
  3. Step 3: Cross multiply
    101,151x = 145,701 × 145,701
  4. Step 4: Simplify right side
    101,151x = 21,228,781,401
  5. Step 5: Solve for x
    x = 21,228,781,401/101,151
  6. Step 6: Final answer
    x = 209,872.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.