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Finding the Third Proportional to 101,257 and 157,190

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Solution

The third proportional to 101,257 and 157,190 is: 244,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,257 : 157,190 = 157,190 : x
  2. Step 2: Convert to fraction form
    101,257/157,190 = 157,190/x
  3. Step 3: Cross multiply
    101,257x = 157,190 × 157,190
  4. Step 4: Simplify right side
    101,257x = 24,708,696,100
  5. Step 5: Solve for x
    x = 24,708,696,100/101,257
  6. Step 6: Final answer
    x = 244,019.63

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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.