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Finding the Third Proportional to 101,853 and 158,604.75

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Solution

The third proportional to 101,853 and 158,604.75 is: 246,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853 : 158,604.75 = 158,604.75 : x
  2. Step 2: Convert to fraction form
    101,853/158,604.75 = 158,604.75/x
  3. Step 3: Cross multiply
    101,853x = 158,604.75 × 158,604.75
  4. Step 4: Simplify right side
    101,853x = 25,155,466,722.56
  5. Step 5: Solve for x
    x = 25,155,466,722.56/101,853
  6. Step 6: Final answer
    x = 246,978.16

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Why These Related Problems?

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