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Finding the Third Proportional to 70,016.63 and 107,620.88

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Solution

The third proportional to 70,016.63 and 107,620.88 is: 165,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,016.63 : 107,620.88 = 107,620.88 : x
  2. Step 2: Convert to fraction form
    70,016.63/107,620.88 = 107,620.88/x
  3. Step 3: Cross multiply
    70,016.63x = 107,620.88 × 107,620.88
  4. Step 4: Simplify right side
    70,016.63x = 11,582,252,735.77
  5. Step 5: Solve for x
    x = 11,582,252,735.77/70,016.63
  6. Step 6: Final answer
    x = 165,421.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.