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Finding the Third Proportional to 125,833.50 and 188,851.50

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Solution

The third proportional to 125,833.50 and 188,851.50 is: 283,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,833.50 : 188,851.50 = 188,851.50 : x
  2. Step 2: Convert to fraction form
    125,833.50/188,851.50 = 188,851.50/x
  3. Step 3: Cross multiply
    125,833.50x = 188,851.50 × 188,851.50
  4. Step 4: Simplify right side
    125,833.50x = 35,664,889,052.25
  5. Step 5: Solve for x
    x = 35,664,889,052.25/125,833.50
  6. Step 6: Final answer
    x = 283,429.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.