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Finding the Third Proportional to 119,195.25 and 180,008

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Solution

The third proportional to 119,195.25 and 180,008 is: 271,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,195.25 : 180,008 = 180,008 : x
  2. Step 2: Convert to fraction form
    119,195.25/180,008 = 180,008/x
  3. Step 3: Cross multiply
    119,195.25x = 180,008 × 180,008
  4. Step 4: Simplify right side
    119,195.25x = 32,402,880,064
  5. Step 5: Solve for x
    x = 32,402,880,064/119,195.25
  6. Step 6: Final answer
    x = 271,847.07

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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.