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Finding the Third Proportional to 73,100 and 109,360

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Solution

The third proportional to 73,100 and 109,360 is: 163,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,100 : 109,360 = 109,360 : x
  2. Step 2: Convert to fraction form
    73,100/109,360 = 109,360/x
  3. Step 3: Cross multiply
    73,100x = 109,360 × 109,360
  4. Step 4: Simplify right side
    73,100x = 11,959,609,600
  5. Step 5: Solve for x
    x = 11,959,609,600/73,100
  6. Step 6: Final answer
    x = 163,606.15

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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.