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Finding the Third Proportional to 45,599 and 68,216

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Solution

The third proportional to 45,599 and 68,216 is: 102,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,599 : 68,216 = 68,216 : x
  2. Step 2: Convert to fraction form
    45,599/68,216 = 68,216/x
  3. Step 3: Cross multiply
    45,599x = 68,216 × 68,216
  4. Step 4: Simplify right side
    45,599x = 4,653,422,656
  5. Step 5: Solve for x
    x = 4,653,422,656/45,599
  6. Step 6: Final answer
    x = 102,050.98

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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.