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Finding the Third Proportional to 70,738 and 110,412

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Solution

The third proportional to 70,738 and 110,412 is: 172,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,738 : 110,412 = 110,412 : x
  2. Step 2: Convert to fraction form
    70,738/110,412 = 110,412/x
  3. Step 3: Cross multiply
    70,738x = 110,412 × 110,412
  4. Step 4: Simplify right side
    70,738x = 12,190,809,744
  5. Step 5: Solve for x
    x = 12,190,809,744/70,738
  6. Step 6: Final answer
    x = 172,337.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.