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Finding the Third Proportional to 44,527.50 and 105,115.50

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Solution

The third proportional to 44,527.50 and 105,115.50 is: 248,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,527.50 : 105,115.50 = 105,115.50 : x
  2. Step 2: Convert to fraction form
    44,527.50/105,115.50 = 105,115.50/x
  3. Step 3: Cross multiply
    44,527.50x = 105,115.50 × 105,115.50
  4. Step 4: Simplify right side
    44,527.50x = 11,049,268,340.25
  5. Step 5: Solve for x
    x = 11,049,268,340.25/44,527.50
  6. Step 6: Final answer
    x = 248,144.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.