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Finding the Third Proportional to 62,314 and 83,967

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Solution

The third proportional to 62,314 and 83,967 is: 113,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,314 : 83,967 = 83,967 : x
  2. Step 2: Convert to fraction form
    62,314/83,967 = 83,967/x
  3. Step 3: Cross multiply
    62,314x = 83,967 × 83,967
  4. Step 4: Simplify right side
    62,314x = 7,050,457,089
  5. Step 5: Solve for x
    x = 7,050,457,089/62,314
  6. Step 6: Final answer
    x = 113,144.03

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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.