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Finding the Third Proportional to 70,704 and 151,527

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Solution

The third proportional to 70,704 and 151,527 is: 324,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704 : 151,527 = 151,527 : x
  2. Step 2: Convert to fraction form
    70,704/151,527 = 151,527/x
  3. Step 3: Cross multiply
    70,704x = 151,527 × 151,527
  4. Step 4: Simplify right side
    70,704x = 22,960,431,729
  5. Step 5: Solve for x
    x = 22,960,431,729/70,704
  6. Step 6: Final answer
    x = 324,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.