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Finding the Third Proportional to 69,568.88 and 148,133.81

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Solution

The third proportional to 69,568.88 and 148,133.81 is: 315,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,568.88 : 148,133.81 = 148,133.81 : x
  2. Step 2: Convert to fraction form
    69,568.88/148,133.81 = 148,133.81/x
  3. Step 3: Cross multiply
    69,568.88x = 148,133.81 × 148,133.81
  4. Step 4: Simplify right side
    69,568.88x = 21,943,626,405.79
  5. Step 5: Solve for x
    x = 21,943,626,405.79/69,568.88
  6. Step 6: Final answer
    x = 315,423.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.