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Finding the Third Proportional to 45,996 and 68,508

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Solution

The third proportional to 45,996 and 68,508 is: 102,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,996 : 68,508 = 68,508 : x
  2. Step 2: Convert to fraction form
    45,996/68,508 = 68,508/x
  3. Step 3: Cross multiply
    45,996x = 68,508 × 68,508
  4. Step 4: Simplify right side
    45,996x = 4,693,346,064
  5. Step 5: Solve for x
    x = 4,693,346,064/45,996
  6. Step 6: Final answer
    x = 102,038.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.