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Finding the Third Proportional to 61,944 and 83,228

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Solution

The third proportional to 61,944 and 83,228 is: 111,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,944 : 83,228 = 83,228 : x
  2. Step 2: Convert to fraction form
    61,944/83,228 = 83,228/x
  3. Step 3: Cross multiply
    61,944x = 83,228 × 83,228
  4. Step 4: Simplify right side
    61,944x = 6,926,899,984
  5. Step 5: Solve for x
    x = 6,926,899,984/61,944
  6. Step 6: Final answer
    x = 111,825.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.