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Finding the Third Proportional to 42,958 and 65,719

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Solution

The third proportional to 42,958 and 65,719 is: 100,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,958 : 65,719 = 65,719 : x
  2. Step 2: Convert to fraction form
    42,958/65,719 = 65,719/x
  3. Step 3: Cross multiply
    42,958x = 65,719 × 65,719
  4. Step 4: Simplify right side
    42,958x = 4,318,986,961
  5. Step 5: Solve for x
    x = 4,318,986,961/42,958
  6. Step 6: Final answer
    x = 100,539.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.