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Finding the Third Proportional to 109,240.50 and 164,862.75

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Solution

The third proportional to 109,240.50 and 164,862.75 is: 248,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,240.50 : 164,862.75 = 164,862.75 : x
  2. Step 2: Convert to fraction form
    109,240.50/164,862.75 = 164,862.75/x
  3. Step 3: Cross multiply
    109,240.50x = 164,862.75 × 164,862.75
  4. Step 4: Simplify right side
    109,240.50x = 27,179,726,337.56
  5. Step 5: Solve for x
    x = 27,179,726,337.56/109,240.50
  6. Step 6: Final answer
    x = 248,806.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.