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Finding the Third Proportional to 40,148 and 83,482

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Solution

The third proportional to 40,148 and 83,482 is: 173,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,148 : 83,482 = 83,482 : x
  2. Step 2: Convert to fraction form
    40,148/83,482 = 83,482/x
  3. Step 3: Cross multiply
    40,148x = 83,482 × 83,482
  4. Step 4: Simplify right side
    40,148x = 6,969,244,324
  5. Step 5: Solve for x
    x = 6,969,244,324/40,148
  6. Step 6: Final answer
    x = 173,588.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.