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Finding the Third Proportional to 111,748.78 and 242,061.75

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Solution

The third proportional to 111,748.78 and 242,061.75 is: 524,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,748.78 : 242,061.75 = 242,061.75 : x
  2. Step 2: Convert to fraction form
    111,748.78/242,061.75 = 242,061.75/x
  3. Step 3: Cross multiply
    111,748.78x = 242,061.75 × 242,061.75
  4. Step 4: Simplify right side
    111,748.78x = 58,593,890,813.06
  5. Step 5: Solve for x
    x = 58,593,890,813.06/111,748.78
  6. Step 6: Final answer
    x = 524,335.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.