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Finding the Third Proportional to 94,484 and 144,472

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Solution

The third proportional to 94,484 and 144,472 is: 220,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,484 : 144,472 = 144,472 : x
  2. Step 2: Convert to fraction form
    94,484/144,472 = 144,472/x
  3. Step 3: Cross multiply
    94,484x = 144,472 × 144,472
  4. Step 4: Simplify right side
    94,484x = 20,872,158,784
  5. Step 5: Solve for x
    x = 20,872,158,784/94,484
  6. Step 6: Final answer
    x = 220,906.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.