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Finding the Third Proportional to 55,856 and 73,416

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Solution

The third proportional to 55,856 and 73,416 is: 96,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856 : 73,416 = 73,416 : x
  2. Step 2: Convert to fraction form
    55,856/73,416 = 73,416/x
  3. Step 3: Cross multiply
    55,856x = 73,416 × 73,416
  4. Step 4: Simplify right side
    55,856x = 5,389,909,056
  5. Step 5: Solve for x
    x = 5,389,909,056/55,856
  6. Step 6: Final answer
    x = 96,496.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.