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Finding the Third Proportional to 82,917.75 and 125,070.38

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Solution

The third proportional to 82,917.75 and 125,070.38 is: 188,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917.75 : 125,070.38 = 125,070.38 : x
  2. Step 2: Convert to fraction form
    82,917.75/125,070.38 = 125,070.38/x
  3. Step 3: Cross multiply
    82,917.75x = 125,070.38 × 125,070.38
  4. Step 4: Simplify right side
    82,917.75x = 15,642,598,702.64
  5. Step 5: Solve for x
    x = 15,642,598,702.64/82,917.75
  6. Step 6: Final answer
    x = 188,651.99

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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.