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Finding the Third Proportional to 45,952 and 68,928

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Solution

The third proportional to 45,952 and 68,928 is: 103,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,952 : 68,928 = 68,928 : x
  2. Step 2: Convert to fraction form
    45,952/68,928 = 68,928/x
  3. Step 3: Cross multiply
    45,952x = 68,928 × 68,928
  4. Step 4: Simplify right side
    45,952x = 4,751,069,184
  5. Step 5: Solve for x
    x = 4,751,069,184/45,952
  6. Step 6: Final answer
    x = 103,392

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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.