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Finding the Third Proportional to 101,456 and 157,711

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Solution

The third proportional to 101,456 and 157,711 is: 245,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,456 : 157,711 = 157,711 : x
  2. Step 2: Convert to fraction form
    101,456/157,711 = 157,711/x
  3. Step 3: Cross multiply
    101,456x = 157,711 × 157,711
  4. Step 4: Simplify right side
    101,456x = 24,872,759,521
  5. Step 5: Solve for x
    x = 24,872,759,521/101,456
  6. Step 6: Final answer
    x = 245,158.09

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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.