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Finding the Third Proportional to 137,479.78 and 207,096.75

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Solution

The third proportional to 137,479.78 and 207,096.75 is: 311,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,479.78 : 207,096.75 = 207,096.75 : x
  2. Step 2: Convert to fraction form
    137,479.78/207,096.75 = 207,096.75/x
  3. Step 3: Cross multiply
    137,479.78x = 207,096.75 × 207,096.75
  4. Step 4: Simplify right side
    137,479.78x = 42,889,063,860.56
  5. Step 5: Solve for x
    x = 42,889,063,860.56/137,479.78
  6. Step 6: Final answer
    x = 311,966.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.