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Finding the Third Proportional to 100,142 and 155,957

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Solution

The third proportional to 100,142 and 155,957 is: 242,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142 : 155,957 = 155,957 : x
  2. Step 2: Convert to fraction form
    100,142/155,957 = 155,957/x
  3. Step 3: Cross multiply
    100,142x = 155,957 × 155,957
  4. Step 4: Simplify right side
    100,142x = 24,322,585,849
  5. Step 5: Solve for x
    x = 24,322,585,849/100,142
  6. Step 6: Final answer
    x = 242,880.97

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