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Finding the Third Proportional to 49,180 and 105,527

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Solution

The third proportional to 49,180 and 105,527 is: 226,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,180 : 105,527 = 105,527 : x
  2. Step 2: Convert to fraction form
    49,180/105,527 = 105,527/x
  3. Step 3: Cross multiply
    49,180x = 105,527 × 105,527
  4. Step 4: Simplify right side
    49,180x = 11,135,947,729
  5. Step 5: Solve for x
    x = 11,135,947,729/49,180
  6. Step 6: Final answer
    x = 226,432.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.