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Finding the Third Proportional to 56,998.69 and 122,737.78

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Solution

The third proportional to 56,998.69 and 122,737.78 is: 264,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.69 : 122,737.78 = 122,737.78 : x
  2. Step 2: Convert to fraction form
    56,998.69/122,737.78 = 122,737.78/x
  3. Step 3: Cross multiply
    56,998.69x = 122,737.78 × 122,737.78
  4. Step 4: Simplify right side
    56,998.69x = 15,064,562,946.17
  5. Step 5: Solve for x
    x = 15,064,562,946.17/56,998.69
  6. Step 6: Final answer
    x = 264,296.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.