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Finding the Third Proportional to 73,072 and 109,604

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Solution

The third proportional to 73,072 and 109,604 is: 164,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072 : 109,604 = 109,604 : x
  2. Step 2: Convert to fraction form
    73,072/109,604 = 109,604/x
  3. Step 3: Cross multiply
    73,072x = 109,604 × 109,604
  4. Step 4: Simplify right side
    73,072x = 12,013,036,816
  5. Step 5: Solve for x
    x = 12,013,036,816/73,072
  6. Step 6: Final answer
    x = 164,400.00

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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.