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Finding the Third Proportional to 82,938.94 and 125,095.78

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Solution

The third proportional to 82,938.94 and 125,095.78 is: 188,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938.94 : 125,095.78 = 125,095.78 : x
  2. Step 2: Convert to fraction form
    82,938.94/125,095.78 = 125,095.78/x
  3. Step 3: Cross multiply
    82,938.94x = 125,095.78 × 125,095.78
  4. Step 4: Simplify right side
    82,938.94x = 15,648,954,486.55
  5. Step 5: Solve for x
    x = 15,648,954,486.55/82,938.94
  6. Step 6: Final answer
    x = 188,680.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.