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Finding the Third Proportional to 137,007.75 and 204,954.75

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Solution

The third proportional to 137,007.75 and 204,954.75 is: 306,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,007.75 : 204,954.75 = 204,954.75 : x
  2. Step 2: Convert to fraction form
    137,007.75/204,954.75 = 204,954.75/x
  3. Step 3: Cross multiply
    137,007.75x = 204,954.75 × 204,954.75
  4. Step 4: Simplify right side
    137,007.75x = 42,006,449,547.56
  5. Step 5: Solve for x
    x = 42,006,449,547.56/137,007.75
  6. Step 6: Final answer
    x = 306,599.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.