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Finding the Third Proportional to 69,719.06 and 143,565.75

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Solution

The third proportional to 69,719.06 and 143,565.75 is: 295,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,719.06 : 143,565.75 = 143,565.75 : x
  2. Step 2: Convert to fraction form
    69,719.06/143,565.75 = 143,565.75/x
  3. Step 3: Cross multiply
    69,719.06x = 143,565.75 × 143,565.75
  4. Step 4: Simplify right side
    69,719.06x = 20,611,124,573.06
  5. Step 5: Solve for x
    x = 20,611,124,573.06/69,719.06
  6. Step 6: Final answer
    x = 295,631.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.