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Finding the Third Proportional to 56,998.69 and 85,179.09

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Solution

The third proportional to 56,998.69 and 85,179.09 is: 127,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.69 : 85,179.09 = 85,179.09 : x
  2. Step 2: Convert to fraction form
    56,998.69/85,179.09 = 85,179.09/x
  3. Step 3: Cross multiply
    56,998.69x = 85,179.09 × 85,179.09
  4. Step 4: Simplify right side
    56,998.69x = 7,255,478,012.07
  5. Step 5: Solve for x
    x = 7,255,478,012.07/56,998.69
  6. Step 6: Final answer
    x = 127,292.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.