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Finding the Third Proportional to 96,884 and 141,498

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Solution

The third proportional to 96,884 and 141,498 is: 206,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,884 : 141,498 = 141,498 : x
  2. Step 2: Convert to fraction form
    96,884/141,498 = 141,498/x
  3. Step 3: Cross multiply
    96,884x = 141,498 × 141,498
  4. Step 4: Simplify right side
    96,884x = 20,021,684,004
  5. Step 5: Solve for x
    x = 20,021,684,004/96,884
  6. Step 6: Final answer
    x = 206,656.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.