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Finding the Third Proportional to 47,102 and 70,654

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Solution

The third proportional to 47,102 and 70,654 is: 105,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102 : 70,654 = 70,654 : x
  2. Step 2: Convert to fraction form
    47,102/70,654 = 70,654/x
  3. Step 3: Cross multiply
    47,102x = 70,654 × 70,654
  4. Step 4: Simplify right side
    47,102x = 4,991,987,716
  5. Step 5: Solve for x
    x = 4,991,987,716/47,102
  6. Step 6: Final answer
    x = 105,982.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.