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Finding the Third Proportional to 61,844 and 89,336

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Solution

The third proportional to 61,844 and 89,336 is: 129,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,844 : 89,336 = 89,336 : x
  2. Step 2: Convert to fraction form
    61,844/89,336 = 89,336/x
  3. Step 3: Cross multiply
    61,844x = 89,336 × 89,336
  4. Step 4: Simplify right side
    61,844x = 7,980,920,896
  5. Step 5: Solve for x
    x = 7,980,920,896/61,844
  6. Step 6: Final answer
    x = 129,049.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.