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Finding the Third Proportional to 100,853 and 133,783

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Solution

The third proportional to 100,853 and 133,783 is: 177,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,853 : 133,783 = 133,783 : x
  2. Step 2: Convert to fraction form
    100,853/133,783 = 133,783/x
  3. Step 3: Cross multiply
    100,853x = 133,783 × 133,783
  4. Step 4: Simplify right side
    100,853x = 17,897,891,089
  5. Step 5: Solve for x
    x = 17,897,891,089/100,853
  6. Step 6: Final answer
    x = 177,465.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.