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Finding the Third Proportional to 73,715.06 and 173,271.66

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Solution

The third proportional to 73,715.06 and 173,271.66 is: 407,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,715.06 : 173,271.66 = 173,271.66 : x
  2. Step 2: Convert to fraction form
    73,715.06/173,271.66 = 173,271.66/x
  3. Step 3: Cross multiply
    73,715.06x = 173,271.66 × 173,271.66
  4. Step 4: Simplify right side
    73,715.06x = 30,023,066,859.62
  5. Step 5: Solve for x
    x = 30,023,066,859.62/73,715.06
  6. Step 6: Final answer
    x = 407,285.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.