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Finding the Third Proportional to 52,882.50 and 111,219

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Solution

The third proportional to 52,882.50 and 111,219 is: 233,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,882.50 : 111,219 = 111,219 : x
  2. Step 2: Convert to fraction form
    52,882.50/111,219 = 111,219/x
  3. Step 3: Cross multiply
    52,882.50x = 111,219 × 111,219
  4. Step 4: Simplify right side
    52,882.50x = 12,369,665,961
  5. Step 5: Solve for x
    x = 12,369,665,961/52,882.50
  6. Step 6: Final answer
    x = 233,908.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.