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Finding the Third Proportional to 86,270.91 and 132,418.13

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Solution

The third proportional to 86,270.91 and 132,418.13 is: 203,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,270.91 : 132,418.13 = 132,418.13 : x
  2. Step 2: Convert to fraction form
    86,270.91/132,418.13 = 132,418.13/x
  3. Step 3: Cross multiply
    86,270.91x = 132,418.13 × 132,418.13
  4. Step 4: Simplify right side
    86,270.91x = 17,534,559,828.52
  5. Step 5: Solve for x
    x = 17,534,559,828.52/86,270.91
  6. Step 6: Final answer
    x = 203,249.98

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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.