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Finding the Third Proportional to 112,128 and 186,871.50

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Solution

The third proportional to 112,128 and 186,871.50 is: 311,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,128 : 186,871.50 = 186,871.50 : x
  2. Step 2: Convert to fraction form
    112,128/186,871.50 = 186,871.50/x
  3. Step 3: Cross multiply
    112,128x = 186,871.50 × 186,871.50
  4. Step 4: Simplify right side
    112,128x = 34,920,957,512.25
  5. Step 5: Solve for x
    x = 34,920,957,512.25/112,128
  6. Step 6: Final answer
    x = 311,438.33

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Why These Related Problems?

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