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Finding the Third Proportional to 70,151.91 and 106,979.27

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Solution

The third proportional to 70,151.91 and 106,979.27 is: 163,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,151.91 : 106,979.27 = 106,979.27 : x
  2. Step 2: Convert to fraction form
    70,151.91/106,979.27 = 106,979.27/x
  3. Step 3: Cross multiply
    70,151.91x = 106,979.27 × 106,979.27
  4. Step 4: Simplify right side
    70,151.91x = 11,444,564,945.22
  5. Step 5: Solve for x
    x = 11,444,564,945.22/70,151.91
  6. Step 6: Final answer
    x = 163,139.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.