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Finding the Third Proportional to 119,438 and 180,701

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Solution

The third proportional to 119,438 and 180,701 is: 273,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,438 : 180,701 = 180,701 : x
  2. Step 2: Convert to fraction form
    119,438/180,701 = 180,701/x
  3. Step 3: Cross multiply
    119,438x = 180,701 × 180,701
  4. Step 4: Simplify right side
    119,438x = 32,652,851,401
  5. Step 5: Solve for x
    x = 32,652,851,401/119,438
  6. Step 6: Final answer
    x = 273,387.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.