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Finding the Third Proportional to 81,966.94 and 177,541.88

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Solution

The third proportional to 81,966.94 and 177,541.88 is: 384,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.94 : 177,541.88 = 177,541.88 : x
  2. Step 2: Convert to fraction form
    81,966.94/177,541.88 = 177,541.88/x
  3. Step 3: Cross multiply
    81,966.94x = 177,541.88 × 177,541.88
  4. Step 4: Simplify right side
    81,966.94x = 31,521,117,378.52
  5. Step 5: Solve for x
    x = 31,521,117,378.52/81,966.94
  6. Step 6: Final answer
    x = 384,558.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.