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Finding the Third Proportional to 70,234.88 and 110,058.75

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Solution

The third proportional to 70,234.88 and 110,058.75 is: 172,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,234.88 : 110,058.75 = 110,058.75 : x
  2. Step 2: Convert to fraction form
    70,234.88/110,058.75 = 110,058.75/x
  3. Step 3: Cross multiply
    70,234.88x = 110,058.75 × 110,058.75
  4. Step 4: Simplify right side
    70,234.88x = 12,112,928,451.56
  5. Step 5: Solve for x
    x = 12,112,928,451.56/70,234.88
  6. Step 6: Final answer
    x = 172,463.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.