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Finding the Third Proportional to 56,917 and 83,529.75

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Solution

The third proportional to 56,917 and 83,529.75 is: 122,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,917 : 83,529.75 = 83,529.75 : x
  2. Step 2: Convert to fraction form
    56,917/83,529.75 = 83,529.75/x
  3. Step 3: Cross multiply
    56,917x = 83,529.75 × 83,529.75
  4. Step 4: Simplify right side
    56,917x = 6,977,219,135.06
  5. Step 5: Solve for x
    x = 6,977,219,135.06/56,917
  6. Step 6: Final answer
    x = 122,585.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.