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Finding the Third Proportional to 82,937.67 and 125,093.74

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Solution

The third proportional to 82,937.67 and 125,093.74 is: 188,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,937.67 : 125,093.74 = 125,093.74 : x
  2. Step 2: Convert to fraction form
    82,937.67/125,093.74 = 125,093.74/x
  3. Step 3: Cross multiply
    82,937.67x = 125,093.74 × 125,093.74
  4. Step 4: Simplify right side
    82,937.67x = 15,648,444,334.47
  5. Step 5: Solve for x
    x = 15,648,444,334.47/82,937.67
  6. Step 6: Final answer
    x = 188,677.16

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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.