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Finding the Third Proportional to 45,648 and 68,328

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Solution

The third proportional to 45,648 and 68,328 is: 102,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,648 : 68,328 = 68,328 : x
  2. Step 2: Convert to fraction form
    45,648/68,328 = 68,328/x
  3. Step 3: Cross multiply
    45,648x = 68,328 × 68,328
  4. Step 4: Simplify right side
    45,648x = 4,668,715,584
  5. Step 5: Solve for x
    x = 4,668,715,584/45,648
  6. Step 6: Final answer
    x = 102,276.45

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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.