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Finding the Third Proportional to 73,070.86 and 159,366.23

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Solution

The third proportional to 73,070.86 and 159,366.23 is: 347,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,070.86 : 159,366.23 = 159,366.23 : x
  2. Step 2: Convert to fraction form
    73,070.86/159,366.23 = 159,366.23/x
  3. Step 3: Cross multiply
    73,070.86x = 159,366.23 × 159,366.23
  4. Step 4: Simplify right side
    73,070.86x = 25,397,596,658.87
  5. Step 5: Solve for x
    x = 25,397,596,658.87/73,070.86
  6. Step 6: Final answer
    x = 347,574.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.