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Finding the Third Proportional to 82,934.25 and 125,088.56

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Solution

The third proportional to 82,934.25 and 125,088.56 is: 188,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934.25 : 125,088.56 = 125,088.56 : x
  2. Step 2: Convert to fraction form
    82,934.25/125,088.56 = 125,088.56/x
  3. Step 3: Cross multiply
    82,934.25x = 125,088.56 × 125,088.56
  4. Step 4: Simplify right side
    82,934.25x = 15,647,148,468.32
  5. Step 5: Solve for x
    x = 15,647,148,468.32/82,934.25
  6. Step 6: Final answer
    x = 188,669.32

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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.