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Finding the Third Proportional to 83,527 and 120,682

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Solution

The third proportional to 83,527 and 120,682 is: 174,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,527 : 120,682 = 120,682 : x
  2. Step 2: Convert to fraction form
    83,527/120,682 = 120,682/x
  3. Step 3: Cross multiply
    83,527x = 120,682 × 120,682
  4. Step 4: Simplify right side
    83,527x = 14,564,145,124
  5. Step 5: Solve for x
    x = 14,564,145,124/83,527
  6. Step 6: Final answer
    x = 174,364.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.