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Finding the Third Proportional to 55,514 and 84,660

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Solution

The third proportional to 55,514 and 84,660 is: 129,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514 : 84,660 = 84,660 : x
  2. Step 2: Convert to fraction form
    55,514/84,660 = 84,660/x
  3. Step 3: Cross multiply
    55,514x = 84,660 × 84,660
  4. Step 4: Simplify right side
    55,514x = 7,167,315,600
  5. Step 5: Solve for x
    x = 7,167,315,600/55,514
  6. Step 6: Final answer
    x = 129,108.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.