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Finding the Third Proportional to 49,777.03 and 77,057.58

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Solution

The third proportional to 49,777.03 and 77,057.58 is: 119,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,777.03 : 77,057.58 = 77,057.58 : x
  2. Step 2: Convert to fraction form
    49,777.03/77,057.58 = 77,057.58/x
  3. Step 3: Cross multiply
    49,777.03x = 77,057.58 × 77,057.58
  4. Step 4: Simplify right side
    49,777.03x = 5,937,870,346.49
  5. Step 5: Solve for x
    x = 5,937,870,346.49/49,777.03
  6. Step 6: Final answer
    x = 119,289.36

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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.