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Finding the Third Proportional to 81,966.94 and 176,509.13

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Solution

The third proportional to 81,966.94 and 176,509.13 is: 380,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.94 : 176,509.13 = 176,509.13 : x
  2. Step 2: Convert to fraction form
    81,966.94/176,509.13 = 176,509.13/x
  3. Step 3: Cross multiply
    81,966.94x = 176,509.13 × 176,509.13
  4. Step 4: Simplify right side
    81,966.94x = 31,155,471,208.27
  5. Step 5: Solve for x
    x = 31,155,471,208.27/81,966.94
  6. Step 6: Final answer
    x = 380,098.03

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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.