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Finding the Third Proportional to 105,414.50 and 136,798

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Solution

The third proportional to 105,414.50 and 136,798 is: 177,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,414.50 : 136,798 = 136,798 : x
  2. Step 2: Convert to fraction form
    105,414.50/136,798 = 136,798/x
  3. Step 3: Cross multiply
    105,414.50x = 136,798 × 136,798
  4. Step 4: Simplify right side
    105,414.50x = 18,713,692,804
  5. Step 5: Solve for x
    x = 18,713,692,804/105,414.50
  6. Step 6: Final answer
    x = 177,524.85

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.