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Finding the Third Proportional to 55,509.75 and 84,646.69

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Solution

The third proportional to 55,509.75 and 84,646.69 is: 129,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509.75 : 84,646.69 = 84,646.69 : x
  2. Step 2: Convert to fraction form
    55,509.75/84,646.69 = 84,646.69/x
  3. Step 3: Cross multiply
    55,509.75x = 84,646.69 × 84,646.69
  4. Step 4: Simplify right side
    55,509.75x = 7,165,061,704.72
  5. Step 5: Solve for x
    x = 7,165,061,704.72/55,509.75
  6. Step 6: Final answer
    x = 129,077.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.