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Finding the Third Proportional to 71,444 and 100,335

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Solution

The third proportional to 71,444 and 100,335 is: 140,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,444 : 100,335 = 100,335 : x
  2. Step 2: Convert to fraction form
    71,444/100,335 = 100,335/x
  3. Step 3: Cross multiply
    71,444x = 100,335 × 100,335
  4. Step 4: Simplify right side
    71,444x = 10,067,112,225
  5. Step 5: Solve for x
    x = 10,067,112,225/71,444
  6. Step 6: Final answer
    x = 140,909.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.