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Finding the Third Proportional to 93,322.13 and 140,747.81

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Solution

The third proportional to 93,322.13 and 140,747.81 is: 212,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,322.13 : 140,747.81 = 140,747.81 : x
  2. Step 2: Convert to fraction form
    93,322.13/140,747.81 = 140,747.81/x
  3. Step 3: Cross multiply
    93,322.13x = 140,747.81 × 140,747.81
  4. Step 4: Simplify right side
    93,322.13x = 19,809,946,723.54
  5. Step 5: Solve for x
    x = 19,809,946,723.54/93,322.13
  6. Step 6: Final answer
    x = 212,274.92

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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.