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Finding the Third Proportional to 53,091 and 82,863

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Solution

The third proportional to 53,091 and 82,863 is: 129,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,091 : 82,863 = 82,863 : x
  2. Step 2: Convert to fraction form
    53,091/82,863 = 82,863/x
  3. Step 3: Cross multiply
    53,091x = 82,863 × 82,863
  4. Step 4: Simplify right side
    53,091x = 6,866,276,769
  5. Step 5: Solve for x
    x = 6,866,276,769/53,091
  6. Step 6: Final answer
    x = 129,330.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.