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Finding the Third Proportional to 60,904 and 94,252

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Solution

The third proportional to 60,904 and 94,252 is: 145,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,904 : 94,252 = 94,252 : x
  2. Step 2: Convert to fraction form
    60,904/94,252 = 94,252/x
  3. Step 3: Cross multiply
    60,904x = 94,252 × 94,252
  4. Step 4: Simplify right side
    60,904x = 8,883,439,504
  5. Step 5: Solve for x
    x = 8,883,439,504/60,904
  6. Step 6: Final answer
    x = 145,859.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.