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Finding the Third Proportional to 55,301 and 85,116

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Solution

The third proportional to 55,301 and 85,116 is: 131,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,301 : 85,116 = 85,116 : x
  2. Step 2: Convert to fraction form
    55,301/85,116 = 85,116/x
  3. Step 3: Cross multiply
    55,301x = 85,116 × 85,116
  4. Step 4: Simplify right side
    55,301x = 7,244,733,456
  5. Step 5: Solve for x
    x = 7,244,733,456/55,301
  6. Step 6: Final answer
    x = 131,005.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.