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Finding the Third Proportional to 107,310 and 166,084

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Solution

The third proportional to 107,310 and 166,084 is: 257,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,310 : 166,084 = 166,084 : x
  2. Step 2: Convert to fraction form
    107,310/166,084 = 166,084/x
  3. Step 3: Cross multiply
    107,310x = 166,084 × 166,084
  4. Step 4: Simplify right side
    107,310x = 27,583,895,056
  5. Step 5: Solve for x
    x = 27,583,895,056/107,310
  6. Step 6: Final answer
    x = 257,048.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.