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Finding the Third Proportional to 112,132.50 and 186,878.25

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Solution

The third proportional to 112,132.50 and 186,878.25 is: 311,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,132.50 : 186,878.25 = 186,878.25 : x
  2. Step 2: Convert to fraction form
    112,132.50/186,878.25 = 186,878.25/x
  3. Step 3: Cross multiply
    112,132.50x = 186,878.25 × 186,878.25
  4. Step 4: Simplify right side
    112,132.50x = 34,923,480,323.06
  5. Step 5: Solve for x
    x = 34,923,480,323.06/112,132.50
  6. Step 6: Final answer
    x = 311,448.33

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.