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Finding the Third Proportional to 70,252.73 and 107,138.95

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Solution

The third proportional to 70,252.73 and 107,138.95 is: 163,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,252.73 : 107,138.95 = 107,138.95 : x
  2. Step 2: Convert to fraction form
    70,252.73/107,138.95 = 107,138.95/x
  3. Step 3: Cross multiply
    70,252.73x = 107,138.95 × 107,138.95
  4. Step 4: Simplify right side
    70,252.73x = 11,478,755,276.72
  5. Step 5: Solve for x
    x = 11,478,755,276.72/70,252.73
  6. Step 6: Final answer
    x = 163,392.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.