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Finding the Third Proportional to 64,443 and 141,967

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Solution

The third proportional to 64,443 and 141,967 is: 312,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,443 : 141,967 = 141,967 : x
  2. Step 2: Convert to fraction form
    64,443/141,967 = 141,967/x
  3. Step 3: Cross multiply
    64,443x = 141,967 × 141,967
  4. Step 4: Simplify right side
    64,443x = 20,154,629,089
  5. Step 5: Solve for x
    x = 20,154,629,089/64,443
  6. Step 6: Final answer
    x = 312,751.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.