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Finding the Third Proportional to 42,266 and 56,928

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Solution

The third proportional to 42,266 and 56,928 is: 76,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,266 : 56,928 = 56,928 : x
  2. Step 2: Convert to fraction form
    42,266/56,928 = 56,928/x
  3. Step 3: Cross multiply
    42,266x = 56,928 × 56,928
  4. Step 4: Simplify right side
    42,266x = 3,240,797,184
  5. Step 5: Solve for x
    x = 3,240,797,184/42,266
  6. Step 6: Final answer
    x = 76,676.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.