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Finding the Third Proportional to 46,812 and 97,511

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Solution

The third proportional to 46,812 and 97,511 is: 203,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812 : 97,511 = 97,511 : x
  2. Step 2: Convert to fraction form
    46,812/97,511 = 97,511/x
  3. Step 3: Cross multiply
    46,812x = 97,511 × 97,511
  4. Step 4: Simplify right side
    46,812x = 9,508,395,121
  5. Step 5: Solve for x
    x = 9,508,395,121/46,812
  6. Step 6: Final answer
    x = 203,118.75

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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.