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Finding the Third Proportional to 46,817 and 102,658

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Solution

The third proportional to 46,817 and 102,658 is: 225,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,817 : 102,658 = 102,658 : x
  2. Step 2: Convert to fraction form
    46,817/102,658 = 102,658/x
  3. Step 3: Cross multiply
    46,817x = 102,658 × 102,658
  4. Step 4: Simplify right side
    46,817x = 10,538,664,964
  5. Step 5: Solve for x
    x = 10,538,664,964/46,817
  6. Step 6: Final answer
    x = 225,103.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.