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Finding the Third Proportional to 112,463 and 237,569

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Solution

The third proportional to 112,463 and 237,569 is: 501,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,463 : 237,569 = 237,569 : x
  2. Step 2: Convert to fraction form
    112,463/237,569 = 237,569/x
  3. Step 3: Cross multiply
    112,463x = 237,569 × 237,569
  4. Step 4: Simplify right side
    112,463x = 56,439,029,761
  5. Step 5: Solve for x
    x = 56,439,029,761/112,463
  6. Step 6: Final answer
    x = 501,845.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.