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Finding the Third Proportional to 47,176 and 71,373

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Solution

The third proportional to 47,176 and 71,373 is: 107,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,176 : 71,373 = 71,373 : x
  2. Step 2: Convert to fraction form
    47,176/71,373 = 71,373/x
  3. Step 3: Cross multiply
    47,176x = 71,373 × 71,373
  4. Step 4: Simplify right side
    47,176x = 5,094,105,129
  5. Step 5: Solve for x
    x = 5,094,105,129/47,176
  6. Step 6: Final answer
    x = 107,980.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.