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Finding the Third Proportional to 70,424 and 110,672

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Solution

The third proportional to 70,424 and 110,672 is: 173,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,424 : 110,672 = 110,672 : x
  2. Step 2: Convert to fraction form
    70,424/110,672 = 110,672/x
  3. Step 3: Cross multiply
    70,424x = 110,672 × 110,672
  4. Step 4: Simplify right side
    70,424x = 12,248,291,584
  5. Step 5: Solve for x
    x = 12,248,291,584/70,424
  6. Step 6: Final answer
    x = 173,922.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.