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Finding the Third Proportional to 70,200 and 107,388

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Solution

The third proportional to 70,200 and 107,388 is: 164,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200 : 107,388 = 107,388 : x
  2. Step 2: Convert to fraction form
    70,200/107,388 = 107,388/x
  3. Step 3: Cross multiply
    70,200x = 107,388 × 107,388
  4. Step 4: Simplify right side
    70,200x = 11,532,182,544
  5. Step 5: Solve for x
    x = 11,532,182,544/70,200
  6. Step 6: Final answer
    x = 164,276.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.