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Finding the Third Proportional to 67,456 and 98,998

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Solution

The third proportional to 67,456 and 98,998 is: 145,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,456 : 98,998 = 98,998 : x
  2. Step 2: Convert to fraction form
    67,456/98,998 = 98,998/x
  3. Step 3: Cross multiply
    67,456x = 98,998 × 98,998
  4. Step 4: Simplify right side
    67,456x = 9,800,604,004
  5. Step 5: Solve for x
    x = 9,800,604,004/67,456
  6. Step 6: Final answer
    x = 145,288.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.