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Finding the Third Proportional to 52,690 and 93,685

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Solution

The third proportional to 52,690 and 93,685 is: 166,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,690 : 93,685 = 93,685 : x
  2. Step 2: Convert to fraction form
    52,690/93,685 = 93,685/x
  3. Step 3: Cross multiply
    52,690x = 93,685 × 93,685
  4. Step 4: Simplify right side
    52,690x = 8,776,879,225
  5. Step 5: Solve for x
    x = 8,776,879,225/52,690
  6. Step 6: Final answer
    x = 166,575.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.