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Finding the Third Proportional to 68,042.25 and 105,789.38

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Solution

The third proportional to 68,042.25 and 105,789.38 is: 164,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,042.25 : 105,789.38 = 105,789.38 : x
  2. Step 2: Convert to fraction form
    68,042.25/105,789.38 = 105,789.38/x
  3. Step 3: Cross multiply
    68,042.25x = 105,789.38 × 105,789.38
  4. Step 4: Simplify right side
    68,042.25x = 11,191,391,862.89
  5. Step 5: Solve for x
    x = 11,191,391,862.89/68,042.25
  6. Step 6: Final answer
    x = 164,477.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.