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Finding the Third Proportional to 52,690 and 93,684.50

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Solution

The third proportional to 52,690 and 93,684.50 is: 166,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,690 : 93,684.50 = 93,684.50 : x
  2. Step 2: Convert to fraction form
    52,690/93,684.50 = 93,684.50/x
  3. Step 3: Cross multiply
    52,690x = 93,684.50 × 93,684.50
  4. Step 4: Simplify right side
    52,690x = 8,776,785,540.25
  5. Step 5: Solve for x
    x = 8,776,785,540.25/52,690
  6. Step 6: Final answer
    x = 166,574.03

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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.