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Finding the Third Proportional to 42,219.75 and 65,885.75

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Solution

The third proportional to 42,219.75 and 65,885.75 is: 102,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219.75 : 65,885.75 = 65,885.75 : x
  2. Step 2: Convert to fraction form
    42,219.75/65,885.75 = 65,885.75/x
  3. Step 3: Cross multiply
    42,219.75x = 65,885.75 × 65,885.75
  4. Step 4: Simplify right side
    42,219.75x = 4,340,932,053.06
  5. Step 5: Solve for x
    x = 4,340,932,053.06/42,219.75
  6. Step 6: Final answer
    x = 102,817.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.