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Finding the Third Proportional to 137,706.75 and 291,957.75

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Solution

The third proportional to 137,706.75 and 291,957.75 is: 618,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.75 : 291,957.75 = 291,957.75 : x
  2. Step 2: Convert to fraction form
    137,706.75/291,957.75 = 291,957.75/x
  3. Step 3: Cross multiply
    137,706.75x = 291,957.75 × 291,957.75
  4. Step 4: Simplify right side
    137,706.75x = 85,239,327,785.06
  5. Step 5: Solve for x
    x = 85,239,327,785.06/137,706.75
  6. Step 6: Final answer
    x = 618,991.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.