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Finding the Third Proportional to 111,913.75 and 242,753

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Solution

The third proportional to 111,913.75 and 242,753 is: 526,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,913.75 : 242,753 = 242,753 : x
  2. Step 2: Convert to fraction form
    111,913.75/242,753 = 242,753/x
  3. Step 3: Cross multiply
    111,913.75x = 242,753 × 242,753
  4. Step 4: Simplify right side
    111,913.75x = 58,929,019,009
  5. Step 5: Solve for x
    x = 58,929,019,009/111,913.75
  6. Step 6: Final answer
    x = 526,557.45

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Why These Related Problems?

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