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Finding the Third Proportional to 81,933.50 and 112,132.50

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Solution

The third proportional to 81,933.50 and 112,132.50 is: 153,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,933.50 : 112,132.50 = 112,132.50 : x
  2. Step 2: Convert to fraction form
    81,933.50/112,132.50 = 112,132.50/x
  3. Step 3: Cross multiply
    81,933.50x = 112,132.50 × 112,132.50
  4. Step 4: Simplify right side
    81,933.50x = 12,573,697,556.25
  5. Step 5: Solve for x
    x = 12,573,697,556.25/81,933.50
  6. Step 6: Final answer
    x = 153,462.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.