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Finding the Third Proportional to 53,170 and 72,241

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Solution

The third proportional to 53,170 and 72,241 is: 98,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,170 : 72,241 = 72,241 : x
  2. Step 2: Convert to fraction form
    53,170/72,241 = 72,241/x
  3. Step 3: Cross multiply
    53,170x = 72,241 × 72,241
  4. Step 4: Simplify right side
    53,170x = 5,218,762,081
  5. Step 5: Solve for x
    x = 5,218,762,081/53,170
  6. Step 6: Final answer
    x = 98,152.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.