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Finding the Third Proportional to 133,897 and 190,356

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Solution

The third proportional to 133,897 and 190,356 is: 270,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,897 : 190,356 = 190,356 : x
  2. Step 2: Convert to fraction form
    133,897/190,356 = 190,356/x
  3. Step 3: Cross multiply
    133,897x = 190,356 × 190,356
  4. Step 4: Simplify right side
    133,897x = 36,235,406,736
  5. Step 5: Solve for x
    x = 36,235,406,736/133,897
  6. Step 6: Final answer
    x = 270,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.