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Finding the Third Proportional to 59,586 and 92,894

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Solution

The third proportional to 59,586 and 92,894 is: 144,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,586 : 92,894 = 92,894 : x
  2. Step 2: Convert to fraction form
    59,586/92,894 = 92,894/x
  3. Step 3: Cross multiply
    59,586x = 92,894 × 92,894
  4. Step 4: Simplify right side
    59,586x = 8,629,295,236
  5. Step 5: Solve for x
    x = 8,629,295,236/59,586
  6. Step 6: Final answer
    x = 144,820.85

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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.