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Finding the Third Proportional to 57,064 and 89,051

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Solution

The third proportional to 57,064 and 89,051 is: 138,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,064 : 89,051 = 89,051 : x
  2. Step 2: Convert to fraction form
    57,064/89,051 = 89,051/x
  3. Step 3: Cross multiply
    57,064x = 89,051 × 89,051
  4. Step 4: Simplify right side
    57,064x = 7,930,080,601
  5. Step 5: Solve for x
    x = 7,930,080,601/57,064
  6. Step 6: Final answer
    x = 138,968.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.