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Finding the Third Proportional to 86,967 and 124,132.50

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Solution

The third proportional to 86,967 and 124,132.50 is: 177,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 124,132.50 = 124,132.50 : x
  2. Step 2: Convert to fraction form
    86,967/124,132.50 = 124,132.50/x
  3. Step 3: Cross multiply
    86,967x = 124,132.50 × 124,132.50
  4. Step 4: Simplify right side
    86,967x = 15,408,877,556.25
  5. Step 5: Solve for x
    x = 15,408,877,556.25/86,967
  6. Step 6: Final answer
    x = 177,180.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.