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Finding the Third Proportional to 64,194.19 and 92,989.69

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Solution

The third proportional to 64,194.19 and 92,989.69 is: 134,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194.19 : 92,989.69 = 92,989.69 : x
  2. Step 2: Convert to fraction form
    64,194.19/92,989.69 = 92,989.69/x
  3. Step 3: Cross multiply
    64,194.19x = 92,989.69 × 92,989.69
  4. Step 4: Simplify right side
    64,194.19x = 8,647,081,981.35
  5. Step 5: Solve for x
    x = 8,647,081,981.35/64,194.19
  6. Step 6: Final answer
    x = 134,701.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.