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Finding the Third Proportional to 62,818 and 84,729

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Solution

The third proportional to 62,818 and 84,729 is: 114,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,818 : 84,729 = 84,729 : x
  2. Step 2: Convert to fraction form
    62,818/84,729 = 84,729/x
  3. Step 3: Cross multiply
    62,818x = 84,729 × 84,729
  4. Step 4: Simplify right side
    62,818x = 7,179,003,441
  5. Step 5: Solve for x
    x = 7,179,003,441/62,818
  6. Step 6: Final answer
    x = 114,282.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.