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Finding the Third Proportional to 34,012 and 73,604

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Solution

The third proportional to 34,012 and 73,604 is: 159,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012 : 73,604 = 73,604 : x
  2. Step 2: Convert to fraction form
    34,012/73,604 = 73,604/x
  3. Step 3: Cross multiply
    34,012x = 73,604 × 73,604
  4. Step 4: Simplify right side
    34,012x = 5,417,548,816
  5. Step 5: Solve for x
    x = 5,417,548,816/34,012
  6. Step 6: Final answer
    x = 159,283.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.