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Finding the Third Proportional to 137,944.69 and 185,376.09

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Solution

The third proportional to 137,944.69 and 185,376.09 is: 249,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,944.69 : 185,376.09 = 185,376.09 : x
  2. Step 2: Convert to fraction form
    137,944.69/185,376.09 = 185,376.09/x
  3. Step 3: Cross multiply
    137,944.69x = 185,376.09 × 185,376.09
  4. Step 4: Simplify right side
    137,944.69x = 34,364,296,134.01
  5. Step 5: Solve for x
    x = 34,364,296,134.01/137,944.69
  6. Step 6: Final answer
    x = 249,116.49

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.