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Finding the Third Proportional to 60,922.97 and 133,615.41

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Solution

The third proportional to 60,922.97 and 133,615.41 is: 293,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,922.97 : 133,615.41 = 133,615.41 : x
  2. Step 2: Convert to fraction form
    60,922.97/133,615.41 = 133,615.41/x
  3. Step 3: Cross multiply
    60,922.97x = 133,615.41 × 133,615.41
  4. Step 4: Simplify right side
    60,922.97x = 17,853,076,787.35
  5. Step 5: Solve for x
    x = 17,853,076,787.35/60,922.97
  6. Step 6: Final answer
    x = 293,043.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.