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Finding the Third Proportional to 45,723 and 68,584

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Solution

The third proportional to 45,723 and 68,584 is: 102,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,723 : 68,584 = 68,584 : x
  2. Step 2: Convert to fraction form
    45,723/68,584 = 68,584/x
  3. Step 3: Cross multiply
    45,723x = 68,584 × 68,584
  4. Step 4: Simplify right side
    45,723x = 4,703,765,056
  5. Step 5: Solve for x
    x = 4,703,765,056/45,723
  6. Step 6: Final answer
    x = 102,875.25

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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.