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Finding the Third Proportional to 55,264 and 84,993

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Solution

The third proportional to 55,264 and 84,993 is: 130,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,264 : 84,993 = 84,993 : x
  2. Step 2: Convert to fraction form
    55,264/84,993 = 84,993/x
  3. Step 3: Cross multiply
    55,264x = 84,993 × 84,993
  4. Step 4: Simplify right side
    55,264x = 7,223,810,049
  5. Step 5: Solve for x
    x = 7,223,810,049/55,264
  6. Step 6: Final answer
    x = 130,714.57

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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.