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Finding the Third Proportional to 45,334 and 74,921

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Solution

The third proportional to 45,334 and 74,921 is: 123,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,334 : 74,921 = 74,921 : x
  2. Step 2: Convert to fraction form
    45,334/74,921 = 74,921/x
  3. Step 3: Cross multiply
    45,334x = 74,921 × 74,921
  4. Step 4: Simplify right side
    45,334x = 5,613,156,241
  5. Step 5: Solve for x
    x = 5,613,156,241/45,334
  6. Step 6: Final answer
    x = 123,817.80

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.