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Finding the Third Proportional to 47,170 and 70,748

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Solution

The third proportional to 47,170 and 70,748 is: 106,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,170 : 70,748 = 70,748 : x
  2. Step 2: Convert to fraction form
    47,170/70,748 = 70,748/x
  3. Step 3: Cross multiply
    47,170x = 70,748 × 70,748
  4. Step 4: Simplify right side
    47,170x = 5,005,279,504
  5. Step 5: Solve for x
    x = 5,005,279,504/47,170
  6. Step 6: Final answer
    x = 106,111.50

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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.