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Finding the Third Proportional to 129,721.50 and 181,095.75

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Solution

The third proportional to 129,721.50 and 181,095.75 is: 252,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,721.50 : 181,095.75 = 181,095.75 : x
  2. Step 2: Convert to fraction form
    129,721.50/181,095.75 = 181,095.75/x
  3. Step 3: Cross multiply
    129,721.50x = 181,095.75 × 181,095.75
  4. Step 4: Simplify right side
    129,721.50x = 32,795,670,668.06
  5. Step 5: Solve for x
    x = 32,795,670,668.06/129,721.50
  6. Step 6: Final answer
    x = 252,816.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.