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Finding the Third Proportional to 76,512 and 113,472

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Solution

The third proportional to 76,512 and 113,472 is: 168,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512 : 113,472 = 113,472 : x
  2. Step 2: Convert to fraction form
    76,512/113,472 = 113,472/x
  3. Step 3: Cross multiply
    76,512x = 113,472 × 113,472
  4. Step 4: Simplify right side
    76,512x = 12,875,894,784
  5. Step 5: Solve for x
    x = 12,875,894,784/76,512
  6. Step 6: Final answer
    x = 168,285.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.