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Finding the Third Proportional to 73,809 and 114,600

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Solution

The third proportional to 73,809 and 114,600 is: 177,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809 : 114,600 = 114,600 : x
  2. Step 2: Convert to fraction form
    73,809/114,600 = 114,600/x
  3. Step 3: Cross multiply
    73,809x = 114,600 × 114,600
  4. Step 4: Simplify right side
    73,809x = 13,133,160,000
  5. Step 5: Solve for x
    x = 13,133,160,000/73,809
  6. Step 6: Final answer
    x = 177,934.40

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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.