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Finding the Third Proportional to 73,176 and 116,472

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Solution

The third proportional to 73,176 and 116,472 is: 185,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176 : 116,472 = 116,472 : x
  2. Step 2: Convert to fraction form
    73,176/116,472 = 116,472/x
  3. Step 3: Cross multiply
    73,176x = 116,472 × 116,472
  4. Step 4: Simplify right side
    73,176x = 13,565,726,784
  5. Step 5: Solve for x
    x = 13,565,726,784/73,176
  6. Step 6: Final answer
    x = 185,384.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.