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Finding the Third Proportional to 65,802 and 89,955

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Solution

The third proportional to 65,802 and 89,955 is: 122,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802 : 89,955 = 89,955 : x
  2. Step 2: Convert to fraction form
    65,802/89,955 = 89,955/x
  3. Step 3: Cross multiply
    65,802x = 89,955 × 89,955
  4. Step 4: Simplify right side
    65,802x = 8,091,902,025
  5. Step 5: Solve for x
    x = 8,091,902,025/65,802
  6. Step 6: Final answer
    x = 122,973.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.