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Finding the Third Proportional to 105,219 and 157,383

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Solution

The third proportional to 105,219 and 157,383 is: 235,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,219 : 157,383 = 157,383 : x
  2. Step 2: Convert to fraction form
    105,219/157,383 = 157,383/x
  3. Step 3: Cross multiply
    105,219x = 157,383 × 157,383
  4. Step 4: Simplify right side
    105,219x = 24,769,408,689
  5. Step 5: Solve for x
    x = 24,769,408,689/105,219
  6. Step 6: Final answer
    x = 235,408.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.