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Finding the Third Proportional to 49,356 and 72,190.13

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Solution

The third proportional to 49,356 and 72,190.13 is: 105,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 72,190.13 = 72,190.13 : x
  2. Step 2: Convert to fraction form
    49,356/72,190.13 = 72,190.13/x
  3. Step 3: Cross multiply
    49,356x = 72,190.13 × 72,190.13
  4. Step 4: Simplify right side
    49,356x = 5,211,414,147.52
  5. Step 5: Solve for x
    x = 5,211,414,147.52/49,356
  6. Step 6: Final answer
    x = 105,588.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.