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Finding the Third Proportional to 100,132 and 155,942

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Solution

The third proportional to 100,132 and 155,942 is: 242,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,132 : 155,942 = 155,942 : x
  2. Step 2: Convert to fraction form
    100,132/155,942 = 155,942/x
  3. Step 3: Cross multiply
    100,132x = 155,942 × 155,942
  4. Step 4: Simplify right side
    100,132x = 24,317,907,364
  5. Step 5: Solve for x
    x = 24,317,907,364/100,132
  6. Step 6: Final answer
    x = 242,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.