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Finding the Third Proportional to 65,082 and 98,998

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Solution

The third proportional to 65,082 and 98,998 is: 150,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082 : 98,998 = 98,998 : x
  2. Step 2: Convert to fraction form
    65,082/98,998 = 98,998/x
  3. Step 3: Cross multiply
    65,082x = 98,998 × 98,998
  4. Step 4: Simplify right side
    65,082x = 9,800,604,004
  5. Step 5: Solve for x
    x = 9,800,604,004/65,082
  6. Step 6: Final answer
    x = 150,588.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.