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Finding the Third Proportional to 69,728.34 and 143,132.06

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Solution

The third proportional to 69,728.34 and 143,132.06 is: 293,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,728.34 : 143,132.06 = 143,132.06 : x
  2. Step 2: Convert to fraction form
    69,728.34/143,132.06 = 143,132.06/x
  3. Step 3: Cross multiply
    69,728.34x = 143,132.06 × 143,132.06
  4. Step 4: Simplify right side
    69,728.34x = 20,486,787,315.50
  5. Step 5: Solve for x
    x = 20,486,787,315.50/69,728.34
  6. Step 6: Final answer
    x = 293,808.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.