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Finding the Third Proportional to 137,601.75 and 290,124

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Solution

The third proportional to 137,601.75 and 290,124 is: 611,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,601.75 : 290,124 = 290,124 : x
  2. Step 2: Convert to fraction form
    137,601.75/290,124 = 290,124/x
  3. Step 3: Cross multiply
    137,601.75x = 290,124 × 290,124
  4. Step 4: Simplify right side
    137,601.75x = 84,171,935,376
  5. Step 5: Solve for x
    x = 84,171,935,376/137,601.75
  6. Step 6: Final answer
    x = 611,706.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.