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Finding the Third Proportional to 83,762 and 197,579

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Solution

The third proportional to 83,762 and 197,579 is: 466,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,762 : 197,579 = 197,579 : x
  2. Step 2: Convert to fraction form
    83,762/197,579 = 197,579/x
  3. Step 3: Cross multiply
    83,762x = 197,579 × 197,579
  4. Step 4: Simplify right side
    83,762x = 39,037,461,241
  5. Step 5: Solve for x
    x = 39,037,461,241/83,762
  6. Step 6: Final answer
    x = 466,052.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.