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Finding the Third Proportional to 112,750 and 242,942

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Solution

The third proportional to 112,750 and 242,942 is: 523,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,750 : 242,942 = 242,942 : x
  2. Step 2: Convert to fraction form
    112,750/242,942 = 242,942/x
  3. Step 3: Cross multiply
    112,750x = 242,942 × 242,942
  4. Step 4: Simplify right side
    112,750x = 59,020,815,364
  5. Step 5: Solve for x
    x = 59,020,815,364/112,750
  6. Step 6: Final answer
    x = 523,466.21

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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.