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Finding the Third Proportional to 94,594.50 and 141,631

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Solution

The third proportional to 94,594.50 and 141,631 is: 212,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,594.50 : 141,631 = 141,631 : x
  2. Step 2: Convert to fraction form
    94,594.50/141,631 = 141,631/x
  3. Step 3: Cross multiply
    94,594.50x = 141,631 × 141,631
  4. Step 4: Simplify right side
    94,594.50x = 20,059,340,161
  5. Step 5: Solve for x
    x = 20,059,340,161/94,594.50
  6. Step 6: Final answer
    x = 212,056.09

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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.