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Finding the Third Proportional to 73,048.08 and 157,019.77

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Solution

The third proportional to 73,048.08 and 157,019.77 is: 337,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,048.08 : 157,019.77 = 157,019.77 : x
  2. Step 2: Convert to fraction form
    73,048.08/157,019.77 = 157,019.77/x
  3. Step 3: Cross multiply
    73,048.08x = 157,019.77 × 157,019.77
  4. Step 4: Simplify right side
    73,048.08x = 24,655,206,796.93
  5. Step 5: Solve for x
    x = 24,655,206,796.93/73,048.08
  6. Step 6: Final answer
    x = 337,520.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.