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Finding the Third Proportional to 67,451 and 98,990

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Solution

The third proportional to 67,451 and 98,990 is: 145,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,451 : 98,990 = 98,990 : x
  2. Step 2: Convert to fraction form
    67,451/98,990 = 98,990/x
  3. Step 3: Cross multiply
    67,451x = 98,990 × 98,990
  4. Step 4: Simplify right side
    67,451x = 9,799,020,100
  5. Step 5: Solve for x
    x = 9,799,020,100/67,451
  6. Step 6: Final answer
    x = 145,276.13

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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.