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Finding the Third Proportional to 39,420 and 85,158

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Solution

The third proportional to 39,420 and 85,158 is: 183,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,420 : 85,158 = 85,158 : x
  2. Step 2: Convert to fraction form
    39,420/85,158 = 85,158/x
  3. Step 3: Cross multiply
    39,420x = 85,158 × 85,158
  4. Step 4: Simplify right side
    39,420x = 7,251,884,964
  5. Step 5: Solve for x
    x = 7,251,884,964/39,420
  6. Step 6: Final answer
    x = 183,964.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.