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Finding the Third Proportional to 56,824 and 121,472

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Solution

The third proportional to 56,824 and 121,472 is: 259,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,824 : 121,472 = 121,472 : x
  2. Step 2: Convert to fraction form
    56,824/121,472 = 121,472/x
  3. Step 3: Cross multiply
    56,824x = 121,472 × 121,472
  4. Step 4: Simplify right side
    56,824x = 14,755,446,784
  5. Step 5: Solve for x
    x = 14,755,446,784/56,824
  6. Step 6: Final answer
    x = 259,669.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.