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Finding the Third Proportional to 82,313 and 125,245.50

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Solution

The third proportional to 82,313 and 125,245.50 is: 190,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,313 : 125,245.50 = 125,245.50 : x
  2. Step 2: Convert to fraction form
    82,313/125,245.50 = 125,245.50/x
  3. Step 3: Cross multiply
    82,313x = 125,245.50 × 125,245.50
  4. Step 4: Simplify right side
    82,313x = 15,686,435,270.25
  5. Step 5: Solve for x
    x = 15,686,435,270.25/82,313
  6. Step 6: Final answer
    x = 190,570.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.