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Finding the Third Proportional to 111,294 and 163,782

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Solution

The third proportional to 111,294 and 163,782 is: 241,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,294 : 163,782 = 163,782 : x
  2. Step 2: Convert to fraction form
    111,294/163,782 = 163,782/x
  3. Step 3: Cross multiply
    111,294x = 163,782 × 163,782
  4. Step 4: Simplify right side
    111,294x = 26,824,543,524
  5. Step 5: Solve for x
    x = 26,824,543,524/111,294
  6. Step 6: Final answer
    x = 241,024.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.