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Finding the Third Proportional to 86,229 and 115,877.25

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Solution

The third proportional to 86,229 and 115,877.25 is: 155,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,229 : 115,877.25 = 115,877.25 : x
  2. Step 2: Convert to fraction form
    86,229/115,877.25 = 115,877.25/x
  3. Step 3: Cross multiply
    86,229x = 115,877.25 × 115,877.25
  4. Step 4: Simplify right side
    86,229x = 13,427,537,067.56
  5. Step 5: Solve for x
    x = 13,427,537,067.56/86,229
  6. Step 6: Final answer
    x = 155,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.