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Finding the Third Proportional to 83,742.19 and 125,628.47

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Solution

The third proportional to 83,742.19 and 125,628.47 is: 188,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,742.19 : 125,628.47 = 125,628.47 : x
  2. Step 2: Convert to fraction form
    83,742.19/125,628.47 = 125,628.47/x
  3. Step 3: Cross multiply
    83,742.19x = 125,628.47 × 125,628.47
  4. Step 4: Simplify right side
    83,742.19x = 15,782,512,160.47
  5. Step 5: Solve for x
    x = 15,782,512,160.47/83,742.19
  6. Step 6: Final answer
    x = 188,465.49

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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.