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Finding the Third Proportional to 47,146 and 102,716

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Solution

The third proportional to 47,146 and 102,716 is: 223,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,146 : 102,716 = 102,716 : x
  2. Step 2: Convert to fraction form
    47,146/102,716 = 102,716/x
  3. Step 3: Cross multiply
    47,146x = 102,716 × 102,716
  4. Step 4: Simplify right side
    47,146x = 10,550,576,656
  5. Step 5: Solve for x
    x = 10,550,576,656/47,146
  6. Step 6: Final answer
    x = 223,785.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.