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Finding the Third Proportional to 100,010 and 140,659

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Solution

The third proportional to 100,010 and 140,659 is: 197,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010 : 140,659 = 140,659 : x
  2. Step 2: Convert to fraction form
    100,010/140,659 = 140,659/x
  3. Step 3: Cross multiply
    100,010x = 140,659 × 140,659
  4. Step 4: Simplify right side
    100,010x = 19,784,954,281
  5. Step 5: Solve for x
    x = 19,784,954,281/100,010
  6. Step 6: Final answer
    x = 197,829.76

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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.