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Finding the Third Proportional to 53,344 and 88,912

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Solution

The third proportional to 53,344 and 88,912 is: 148,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,344 : 88,912 = 88,912 : x
  2. Step 2: Convert to fraction form
    53,344/88,912 = 88,912/x
  3. Step 3: Cross multiply
    53,344x = 88,912 × 88,912
  4. Step 4: Simplify right side
    53,344x = 7,905,343,744
  5. Step 5: Solve for x
    x = 7,905,343,744/53,344
  6. Step 6: Final answer
    x = 148,195.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.