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Finding the Third Proportional to 39,174 and 57,121

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Solution

The third proportional to 39,174 and 57,121 is: 83,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,174 : 57,121 = 57,121 : x
  2. Step 2: Convert to fraction form
    39,174/57,121 = 57,121/x
  3. Step 3: Cross multiply
    39,174x = 57,121 × 57,121
  4. Step 4: Simplify right side
    39,174x = 3,262,808,641
  5. Step 5: Solve for x
    x = 3,262,808,641/39,174
  6. Step 6: Final answer
    x = 83,290.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.