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Finding the Third Proportional to 57,356 and 86,058

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Solution

The third proportional to 57,356 and 86,058 is: 129,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,356 : 86,058 = 86,058 : x
  2. Step 2: Convert to fraction form
    57,356/86,058 = 86,058/x
  3. Step 3: Cross multiply
    57,356x = 86,058 × 86,058
  4. Step 4: Simplify right side
    57,356x = 7,405,979,364
  5. Step 5: Solve for x
    x = 7,405,979,364/57,356
  6. Step 6: Final answer
    x = 129,123.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.