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Finding the Third Proportional to 96,939 and 145,511

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Solution

The third proportional to 96,939 and 145,511 is: 218,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,939 : 145,511 = 145,511 : x
  2. Step 2: Convert to fraction form
    96,939/145,511 = 145,511/x
  3. Step 3: Cross multiply
    96,939x = 145,511 × 145,511
  4. Step 4: Simplify right side
    96,939x = 21,173,451,121
  5. Step 5: Solve for x
    x = 21,173,451,121/96,939
  6. Step 6: Final answer
    x = 218,420.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.