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Finding the Third Proportional to 112,851 and 242,923

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Solution

The third proportional to 112,851 and 242,923 is: 522,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,851 : 242,923 = 242,923 : x
  2. Step 2: Convert to fraction form
    112,851/242,923 = 242,923/x
  3. Step 3: Cross multiply
    112,851x = 242,923 × 242,923
  4. Step 4: Simplify right side
    112,851x = 59,011,583,929
  5. Step 5: Solve for x
    x = 59,011,583,929/112,851
  6. Step 6: Final answer
    x = 522,915.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.