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Finding the Third Proportional to 105,727.50 and 155,670.75

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Solution

The third proportional to 105,727.50 and 155,670.75 is: 229,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,727.50 : 155,670.75 = 155,670.75 : x
  2. Step 2: Convert to fraction form
    105,727.50/155,670.75 = 155,670.75/x
  3. Step 3: Cross multiply
    105,727.50x = 155,670.75 × 155,670.75
  4. Step 4: Simplify right side
    105,727.50x = 24,233,382,405.56
  5. Step 5: Solve for x
    x = 24,233,382,405.56/105,727.50
  6. Step 6: Final answer
    x = 229,206.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.