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Finding the Third Proportional to 45,692 and 68,540

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Solution

The third proportional to 45,692 and 68,540 is: 102,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,692 : 68,540 = 68,540 : x
  2. Step 2: Convert to fraction form
    45,692/68,540 = 68,540/x
  3. Step 3: Cross multiply
    45,692x = 68,540 × 68,540
  4. Step 4: Simplify right side
    45,692x = 4,697,731,600
  5. Step 5: Solve for x
    x = 4,697,731,600/45,692
  6. Step 6: Final answer
    x = 102,813.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.