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Finding the Third Proportional to 60,212 and 95,420

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Solution

The third proportional to 60,212 and 95,420 is: 151,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,212 : 95,420 = 95,420 : x
  2. Step 2: Convert to fraction form
    60,212/95,420 = 95,420/x
  3. Step 3: Cross multiply
    60,212x = 95,420 × 95,420
  4. Step 4: Simplify right side
    60,212x = 9,104,976,400
  5. Step 5: Solve for x
    x = 9,104,976,400/60,212
  6. Step 6: Final answer
    x = 151,215.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.