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Finding the Third Proportional to 73,583 and 155,931

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Solution

The third proportional to 73,583 and 155,931 is: 330,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,583 : 155,931 = 155,931 : x
  2. Step 2: Convert to fraction form
    73,583/155,931 = 155,931/x
  3. Step 3: Cross multiply
    73,583x = 155,931 × 155,931
  4. Step 4: Simplify right side
    73,583x = 24,314,476,761
  5. Step 5: Solve for x
    x = 24,314,476,761/73,583
  6. Step 6: Final answer
    x = 330,436.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.