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Finding the Third Proportional to 101,713 and 157,493

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Solution

The third proportional to 101,713 and 157,493 is: 243,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,713 : 157,493 = 157,493 : x
  2. Step 2: Convert to fraction form
    101,713/157,493 = 157,493/x
  3. Step 3: Cross multiply
    101,713x = 157,493 × 157,493
  4. Step 4: Simplify right side
    101,713x = 24,804,045,049
  5. Step 5: Solve for x
    x = 24,804,045,049/101,713
  6. Step 6: Final answer
    x = 243,863.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.