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Finding the Third Proportional to 112,554 and 237,771

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Solution

The third proportional to 112,554 and 237,771 is: 502,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,554 : 237,771 = 237,771 : x
  2. Step 2: Convert to fraction form
    112,554/237,771 = 237,771/x
  3. Step 3: Cross multiply
    112,554x = 237,771 × 237,771
  4. Step 4: Simplify right side
    112,554x = 56,535,048,441
  5. Step 5: Solve for x
    x = 56,535,048,441/112,554
  6. Step 6: Final answer
    x = 502,292.66

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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.