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Finding the Third Proportional to 133,024 and 195,646

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Solution

The third proportional to 133,024 and 195,646 is: 287,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024 : 195,646 = 195,646 : x
  2. Step 2: Convert to fraction form
    133,024/195,646 = 195,646/x
  3. Step 3: Cross multiply
    133,024x = 195,646 × 195,646
  4. Step 4: Simplify right side
    133,024x = 38,277,357,316
  5. Step 5: Solve for x
    x = 38,277,357,316/133,024
  6. Step 6: Final answer
    x = 287,747.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.