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Finding the Third Proportional to 57,058 and 86,355

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Solution

The third proportional to 57,058 and 86,355 is: 130,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058 : 86,355 = 86,355 : x
  2. Step 2: Convert to fraction form
    57,058/86,355 = 86,355/x
  3. Step 3: Cross multiply
    57,058x = 86,355 × 86,355
  4. Step 4: Simplify right side
    57,058x = 7,457,186,025
  5. Step 5: Solve for x
    x = 7,457,186,025/57,058
  6. Step 6: Final answer
    x = 130,694.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.