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Finding the Third Proportional to 88,972 and 193,472

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Solution

The third proportional to 88,972 and 193,472 is: 420,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,972 : 193,472 = 193,472 : x
  2. Step 2: Convert to fraction form
    88,972/193,472 = 193,472/x
  3. Step 3: Cross multiply
    88,972x = 193,472 × 193,472
  4. Step 4: Simplify right side
    88,972x = 37,431,414,784
  5. Step 5: Solve for x
    x = 37,431,414,784/88,972
  6. Step 6: Final answer
    x = 420,710.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.