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Finding the Third Proportional to 82,661.77 and 176,138.93

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Solution

The third proportional to 82,661.77 and 176,138.93 is: 375,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.77 : 176,138.93 = 176,138.93 : x
  2. Step 2: Convert to fraction form
    82,661.77/176,138.93 = 176,138.93/x
  3. Step 3: Cross multiply
    82,661.77x = 176,138.93 × 176,138.93
  4. Step 4: Simplify right side
    82,661.77x = 31,024,922,551.46
  5. Step 5: Solve for x
    x = 31,024,922,551.46/82,661.77
  6. Step 6: Final answer
    x = 375,323.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.