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Finding the Third Proportional to 61,109.44 and 127,799.44

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Solution

The third proportional to 61,109.44 and 127,799.44 is: 267,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,109.44 : 127,799.44 = 127,799.44 : x
  2. Step 2: Convert to fraction form
    61,109.44/127,799.44 = 127,799.44/x
  3. Step 3: Cross multiply
    61,109.44x = 127,799.44 × 127,799.44
  4. Step 4: Simplify right side
    61,109.44x = 16,332,696,225.32
  5. Step 5: Solve for x
    x = 16,332,696,225.32/61,109.44
  6. Step 6: Final answer
    x = 267,269.62

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.