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Finding the Third Proportional to 53,266 and 80,870

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Solution

The third proportional to 53,266 and 80,870 is: 122,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,266 : 80,870 = 80,870 : x
  2. Step 2: Convert to fraction form
    53,266/80,870 = 80,870/x
  3. Step 3: Cross multiply
    53,266x = 80,870 × 80,870
  4. Step 4: Simplify right side
    53,266x = 6,539,956,900
  5. Step 5: Solve for x
    x = 6,539,956,900/53,266
  6. Step 6: Final answer
    x = 122,779.20

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