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Finding the Third Proportional to 94,809.66 and 141,946.17

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Solution

The third proportional to 94,809.66 and 141,946.17 is: 212,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,809.66 : 141,946.17 = 141,946.17 : x
  2. Step 2: Convert to fraction form
    94,809.66/141,946.17 = 141,946.17/x
  3. Step 3: Cross multiply
    94,809.66x = 141,946.17 × 141,946.17
  4. Step 4: Simplify right side
    94,809.66x = 20,148,715,709.97
  5. Step 5: Solve for x
    x = 20,148,715,709.97/94,809.66
  6. Step 6: Final answer
    x = 212,517.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.