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Finding the Third Proportional to 56,910 and 83,177

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Solution

The third proportional to 56,910 and 83,177 is: 121,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,910 : 83,177 = 83,177 : x
  2. Step 2: Convert to fraction form
    56,910/83,177 = 83,177/x
  3. Step 3: Cross multiply
    56,910x = 83,177 × 83,177
  4. Step 4: Simplify right side
    56,910x = 6,918,413,329
  5. Step 5: Solve for x
    x = 6,918,413,329/56,910
  6. Step 6: Final answer
    x = 121,567.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.