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Finding the Third Proportional to 62,064 and 132,878

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Solution

The third proportional to 62,064 and 132,878 is: 284,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,064 : 132,878 = 132,878 : x
  2. Step 2: Convert to fraction form
    62,064/132,878 = 132,878/x
  3. Step 3: Cross multiply
    62,064x = 132,878 × 132,878
  4. Step 4: Simplify right side
    62,064x = 17,656,562,884
  5. Step 5: Solve for x
    x = 17,656,562,884/62,064
  6. Step 6: Final answer
    x = 284,489.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.