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Finding the Third Proportional to 45,352 and 68,201

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Solution

The third proportional to 45,352 and 68,201 is: 102,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,352 : 68,201 = 68,201 : x
  2. Step 2: Convert to fraction form
    45,352/68,201 = 68,201/x
  3. Step 3: Cross multiply
    45,352x = 68,201 × 68,201
  4. Step 4: Simplify right side
    45,352x = 4,651,376,401
  5. Step 5: Solve for x
    x = 4,651,376,401/45,352
  6. Step 6: Final answer
    x = 102,561.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.