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Finding the Third Proportional to 65,766 and 93,058

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Solution

The third proportional to 65,766 and 93,058 is: 131,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,766 : 93,058 = 93,058 : x
  2. Step 2: Convert to fraction form
    65,766/93,058 = 93,058/x
  3. Step 3: Cross multiply
    65,766x = 93,058 × 93,058
  4. Step 4: Simplify right side
    65,766x = 8,659,791,364
  5. Step 5: Solve for x
    x = 8,659,791,364/65,766
  6. Step 6: Final answer
    x = 131,675.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.