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Finding the Third Proportional to 119,911 and 173,237

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Solution

The third proportional to 119,911 and 173,237 is: 250,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,911 : 173,237 = 173,237 : x
  2. Step 2: Convert to fraction form
    119,911/173,237 = 173,237/x
  3. Step 3: Cross multiply
    119,911x = 173,237 × 173,237
  4. Step 4: Simplify right side
    119,911x = 30,011,058,169
  5. Step 5: Solve for x
    x = 30,011,058,169/119,911
  6. Step 6: Final answer
    x = 250,277.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.