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Finding the Third Proportional to 70,154 and 107,319

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Solution

The third proportional to 70,154 and 107,319 is: 164,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154 : 107,319 = 107,319 : x
  2. Step 2: Convert to fraction form
    70,154/107,319 = 107,319/x
  3. Step 3: Cross multiply
    70,154x = 107,319 × 107,319
  4. Step 4: Simplify right side
    70,154x = 11,517,367,761
  5. Step 5: Solve for x
    x = 11,517,367,761/70,154
  6. Step 6: Final answer
    x = 164,172.65

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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.