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Finding the Third Proportional to 61,689.94 and 92,989.69

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Solution

The third proportional to 61,689.94 and 92,989.69 is: 140,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,689.94 : 92,989.69 = 92,989.69 : x
  2. Step 2: Convert to fraction form
    61,689.94/92,989.69 = 92,989.69/x
  3. Step 3: Cross multiply
    61,689.94x = 92,989.69 × 92,989.69
  4. Step 4: Simplify right side
    61,689.94x = 8,647,081,981.35
  5. Step 5: Solve for x
    x = 8,647,081,981.35/61,689.94
  6. Step 6: Final answer
    x = 140,170.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.