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Finding the Third Proportional to 47,670 and 94,142

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Solution

The third proportional to 47,670 and 94,142 is: 185,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670 : 94,142 = 94,142 : x
  2. Step 2: Convert to fraction form
    47,670/94,142 = 94,142/x
  3. Step 3: Cross multiply
    47,670x = 94,142 × 94,142
  4. Step 4: Simplify right side
    47,670x = 8,862,716,164
  5. Step 5: Solve for x
    x = 8,862,716,164/47,670
  6. Step 6: Final answer
    x = 185,918.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.