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Finding the Third Proportional to 101,954 and 157,544

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Solution

The third proportional to 101,954 and 157,544 is: 243,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954 : 157,544 = 157,544 : x
  2. Step 2: Convert to fraction form
    101,954/157,544 = 157,544/x
  3. Step 3: Cross multiply
    101,954x = 157,544 × 157,544
  4. Step 4: Simplify right side
    101,954x = 24,820,111,936
  5. Step 5: Solve for x
    x = 24,820,111,936/101,954
  6. Step 6: Final answer
    x = 243,444.22

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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.