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Finding the Third Proportional to 78,737.06 and 119,563.59

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Solution

The third proportional to 78,737.06 and 119,563.59 is: 181,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,737.06 : 119,563.59 = 119,563.59 : x
  2. Step 2: Convert to fraction form
    78,737.06/119,563.59 = 119,563.59/x
  3. Step 3: Cross multiply
    78,737.06x = 119,563.59 × 119,563.59
  4. Step 4: Simplify right side
    78,737.06x = 14,295,452,950.42
  5. Step 5: Solve for x
    x = 14,295,452,950.42/78,737.06
  6. Step 6: Final answer
    x = 181,559.39

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Why These Related Problems?

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