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Finding the Third Proportional to 49,209.75 and 76,343.63

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Solution

The third proportional to 49,209.75 and 76,343.63 is: 118,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209.75 : 76,343.63 = 76,343.63 : x
  2. Step 2: Convert to fraction form
    49,209.75/76,343.63 = 76,343.63/x
  3. Step 3: Cross multiply
    49,209.75x = 76,343.63 × 76,343.63
  4. Step 4: Simplify right side
    49,209.75x = 5,828,349,078.14
  5. Step 5: Solve for x
    x = 5,828,349,078.14/49,209.75
  6. Step 6: Final answer
    x = 118,438.91

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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.