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Finding the Third Proportional to 53,136 and 71,847

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Solution

The third proportional to 53,136 and 71,847 is: 97,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,136 : 71,847 = 71,847 : x
  2. Step 2: Convert to fraction form
    53,136/71,847 = 71,847/x
  3. Step 3: Cross multiply
    53,136x = 71,847 × 71,847
  4. Step 4: Simplify right side
    53,136x = 5,161,991,409
  5. Step 5: Solve for x
    x = 5,161,991,409/53,136
  6. Step 6: Final answer
    x = 97,146.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.