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Finding the Third Proportional to 86,175 and 124,117.25

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Solution

The third proportional to 86,175 and 124,117.25 is: 178,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,175 : 124,117.25 = 124,117.25 : x
  2. Step 2: Convert to fraction form
    86,175/124,117.25 = 124,117.25/x
  3. Step 3: Cross multiply
    86,175x = 124,117.25 × 124,117.25
  4. Step 4: Simplify right side
    86,175x = 15,405,091,747.56
  5. Step 5: Solve for x
    x = 15,405,091,747.56/86,175
  6. Step 6: Final answer
    x = 178,765.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.