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Finding the Third Proportional to 49,211.16 and 76,345.59

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Solution

The third proportional to 49,211.16 and 76,345.59 is: 118,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,211.16 : 76,345.59 = 76,345.59 : x
  2. Step 2: Convert to fraction form
    49,211.16/76,345.59 = 76,345.59/x
  3. Step 3: Cross multiply
    49,211.16x = 76,345.59 × 76,345.59
  4. Step 4: Simplify right side
    49,211.16x = 5,828,649,685.04
  5. Step 5: Solve for x
    x = 5,828,649,685.04/49,211.16
  6. Step 6: Final answer
    x = 118,441.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.