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Finding the Third Proportional to 59,579 and 92,885

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Solution

The third proportional to 59,579 and 92,885 is: 144,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,579 : 92,885 = 92,885 : x
  2. Step 2: Convert to fraction form
    59,579/92,885 = 92,885/x
  3. Step 3: Cross multiply
    59,579x = 92,885 × 92,885
  4. Step 4: Simplify right side
    59,579x = 8,627,623,225
  5. Step 5: Solve for x
    x = 8,627,623,225/59,579
  6. Step 6: Final answer
    x = 144,809.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.