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Finding the Third Proportional to 94,861.13 and 142,914.38

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Solution

The third proportional to 94,861.13 and 142,914.38 is: 215,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,861.13 : 142,914.38 = 142,914.38 : x
  2. Step 2: Convert to fraction form
    94,861.13/142,914.38 = 142,914.38/x
  3. Step 3: Cross multiply
    94,861.13x = 142,914.38 × 142,914.38
  4. Step 4: Simplify right side
    94,861.13x = 20,424,518,581.64
  5. Step 5: Solve for x
    x = 20,424,518,581.64/94,861.13
  6. Step 6: Final answer
    x = 215,309.68

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Why These Related Problems?

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