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Finding the Third Proportional to 96,869 and 145,403

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Solution

The third proportional to 96,869 and 145,403 is: 218,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,869 : 145,403 = 145,403 : x
  2. Step 2: Convert to fraction form
    96,869/145,403 = 145,403/x
  3. Step 3: Cross multiply
    96,869x = 145,403 × 145,403
  4. Step 4: Simplify right side
    96,869x = 21,142,032,409
  5. Step 5: Solve for x
    x = 21,142,032,409/96,869
  6. Step 6: Final answer
    x = 218,253.85

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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.