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Finding the Third Proportional to 70,019 and 107,624

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Solution

The third proportional to 70,019 and 107,624 is: 165,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,019 : 107,624 = 107,624 : x
  2. Step 2: Convert to fraction form
    70,019/107,624 = 107,624/x
  3. Step 3: Cross multiply
    70,019x = 107,624 × 107,624
  4. Step 4: Simplify right side
    70,019x = 11,582,925,376
  5. Step 5: Solve for x
    x = 11,582,925,376/70,019
  6. Step 6: Final answer
    x = 165,425.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.