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Finding the Third Proportional to 46,747 and 102,841

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Solution

The third proportional to 46,747 and 102,841 is: 226,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747 : 102,841 = 102,841 : x
  2. Step 2: Convert to fraction form
    46,747/102,841 = 102,841/x
  3. Step 3: Cross multiply
    46,747x = 102,841 × 102,841
  4. Step 4: Simplify right side
    46,747x = 10,576,271,281
  5. Step 5: Solve for x
    x = 10,576,271,281/46,747
  6. Step 6: Final answer
    x = 226,244.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.