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Finding the Third Proportional to 101,458 and 157,714

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Solution

The third proportional to 101,458 and 157,714 is: 245,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,458 : 157,714 = 157,714 : x
  2. Step 2: Convert to fraction form
    101,458/157,714 = 157,714/x
  3. Step 3: Cross multiply
    101,458x = 157,714 × 157,714
  4. Step 4: Simplify right side
    101,458x = 24,873,705,796
  5. Step 5: Solve for x
    x = 24,873,705,796/101,458
  6. Step 6: Final answer
    x = 245,162.59

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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.