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Finding the Third Proportional to 69,822 and 148,797

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Solution

The third proportional to 69,822 and 148,797 is: 317,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,822 : 148,797 = 148,797 : x
  2. Step 2: Convert to fraction form
    69,822/148,797 = 148,797/x
  3. Step 3: Cross multiply
    69,822x = 148,797 × 148,797
  4. Step 4: Simplify right side
    69,822x = 22,140,547,209
  5. Step 5: Solve for x
    x = 22,140,547,209/69,822
  6. Step 6: Final answer
    x = 317,099.87

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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.