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Finding the Third Proportional to 67,969.13 and 89,474.63

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Solution

The third proportional to 67,969.13 and 89,474.63 is: 117,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969.13 : 89,474.63 = 89,474.63 : x
  2. Step 2: Convert to fraction form
    67,969.13/89,474.63 = 89,474.63/x
  3. Step 3: Cross multiply
    67,969.13x = 89,474.63 × 89,474.63
  4. Step 4: Simplify right side
    67,969.13x = 8,005,708,518.89
  5. Step 5: Solve for x
    x = 8,005,708,518.89/67,969.13
  6. Step 6: Final answer
    x = 117,784.49

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.