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Finding the Third Proportional to 81,060.75 and 176,883.75

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Solution

The third proportional to 81,060.75 and 176,883.75 is: 385,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,060.75 : 176,883.75 = 176,883.75 : x
  2. Step 2: Convert to fraction form
    81,060.75/176,883.75 = 176,883.75/x
  3. Step 3: Cross multiply
    81,060.75x = 176,883.75 × 176,883.75
  4. Step 4: Simplify right side
    81,060.75x = 31,287,861,014.06
  5. Step 5: Solve for x
    x = 31,287,861,014.06/81,060.75
  6. Step 6: Final answer
    x = 385,980.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.