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Finding the Third Proportional to 65,242 and 98,007

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Solution

The third proportional to 65,242 and 98,007 is: 147,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242 : 98,007 = 98,007 : x
  2. Step 2: Convert to fraction form
    65,242/98,007 = 98,007/x
  3. Step 3: Cross multiply
    65,242x = 98,007 × 98,007
  4. Step 4: Simplify right side
    65,242x = 9,605,372,049
  5. Step 5: Solve for x
    x = 9,605,372,049/65,242
  6. Step 6: Final answer
    x = 147,226.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.