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Finding the Third Proportional to 112,092.75 and 242,502.75

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Solution

The third proportional to 112,092.75 and 242,502.75 is: 524,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,092.75 : 242,502.75 = 242,502.75 : x
  2. Step 2: Convert to fraction form
    112,092.75/242,502.75 = 242,502.75/x
  3. Step 3: Cross multiply
    112,092.75x = 242,502.75 × 242,502.75
  4. Step 4: Simplify right side
    112,092.75x = 58,807,583,757.56
  5. Step 5: Solve for x
    x = 58,807,583,757.56/112,092.75
  6. Step 6: Final answer
    x = 524,633.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.