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Finding the Third Proportional to 61,803 and 82,863

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Solution

The third proportional to 61,803 and 82,863 is: 111,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,803 : 82,863 = 82,863 : x
  2. Step 2: Convert to fraction form
    61,803/82,863 = 82,863/x
  3. Step 3: Cross multiply
    61,803x = 82,863 × 82,863
  4. Step 4: Simplify right side
    61,803x = 6,866,276,769
  5. Step 5: Solve for x
    x = 6,866,276,769/61,803
  6. Step 6: Final answer
    x = 111,099.41

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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.