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Finding the Third Proportional to 75,220 and 178,210

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Solution

The third proportional to 75,220 and 178,210 is: 422,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,220 : 178,210 = 178,210 : x
  2. Step 2: Convert to fraction form
    75,220/178,210 = 178,210/x
  3. Step 3: Cross multiply
    75,220x = 178,210 × 178,210
  4. Step 4: Simplify right side
    75,220x = 31,758,804,100
  5. Step 5: Solve for x
    x = 31,758,804,100/75,220
  6. Step 6: Final answer
    x = 422,212.23

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.