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Finding the Third Proportional to 78,824 and 171,472

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Solution

The third proportional to 78,824 and 171,472 is: 373,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824 : 171,472 = 171,472 : x
  2. Step 2: Convert to fraction form
    78,824/171,472 = 171,472/x
  3. Step 3: Cross multiply
    78,824x = 171,472 × 171,472
  4. Step 4: Simplify right side
    78,824x = 29,402,646,784
  5. Step 5: Solve for x
    x = 29,402,646,784/78,824
  6. Step 6: Final answer
    x = 373,016.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.