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Finding the Third Proportional to 59,636 and 83,579

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Solution

The third proportional to 59,636 and 83,579 is: 117,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,636 : 83,579 = 83,579 : x
  2. Step 2: Convert to fraction form
    59,636/83,579 = 83,579/x
  3. Step 3: Cross multiply
    59,636x = 83,579 × 83,579
  4. Step 4: Simplify right side
    59,636x = 6,985,449,241
  5. Step 5: Solve for x
    x = 6,985,449,241/59,636
  6. Step 6: Final answer
    x = 117,134.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.