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Finding the Third Proportional to 112,127.25 and 186,871.50

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Solution

The third proportional to 112,127.25 and 186,871.50 is: 311,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,127.25 : 186,871.50 = 186,871.50 : x
  2. Step 2: Convert to fraction form
    112,127.25/186,871.50 = 186,871.50/x
  3. Step 3: Cross multiply
    112,127.25x = 186,871.50 × 186,871.50
  4. Step 4: Simplify right side
    112,127.25x = 34,920,957,512.25
  5. Step 5: Solve for x
    x = 34,920,957,512.25/112,127.25
  6. Step 6: Final answer
    x = 311,440.42

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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.