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Finding the Third Proportional to 100,053 and 140,719

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Solution

The third proportional to 100,053 and 140,719 is: 197,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,053 : 140,719 = 140,719 : x
  2. Step 2: Convert to fraction form
    100,053/140,719 = 140,719/x
  3. Step 3: Cross multiply
    100,053x = 140,719 × 140,719
  4. Step 4: Simplify right side
    100,053x = 19,801,836,961
  5. Step 5: Solve for x
    x = 19,801,836,961/100,053
  6. Step 6: Final answer
    x = 197,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.