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Finding the Third Proportional to 70,395.75 and 151,043.06

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Solution

The third proportional to 70,395.75 and 151,043.06 is: 324,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,395.75 : 151,043.06 = 151,043.06 : x
  2. Step 2: Convert to fraction form
    70,395.75/151,043.06 = 151,043.06/x
  3. Step 3: Cross multiply
    70,395.75x = 151,043.06 × 151,043.06
  4. Step 4: Simplify right side
    70,395.75x = 22,814,006,729.38
  5. Step 5: Solve for x
    x = 22,814,006,729.38/70,395.75
  6. Step 6: Final answer
    x = 324,082.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.