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Finding the Third Proportional to 101,853 and 133,947

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Solution

The third proportional to 101,853 and 133,947 is: 176,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853 : 133,947 = 133,947 : x
  2. Step 2: Convert to fraction form
    101,853/133,947 = 133,947/x
  3. Step 3: Cross multiply
    101,853x = 133,947 × 133,947
  4. Step 4: Simplify right side
    101,853x = 17,941,798,809
  5. Step 5: Solve for x
    x = 17,941,798,809/101,853
  6. Step 6: Final answer
    x = 176,153.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.