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Finding the Third Proportional to 53,281.50 and 80,058

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Solution

The third proportional to 53,281.50 and 80,058 is: 120,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,281.50 : 80,058 = 80,058 : x
  2. Step 2: Convert to fraction form
    53,281.50/80,058 = 80,058/x
  3. Step 3: Cross multiply
    53,281.50x = 80,058 × 80,058
  4. Step 4: Simplify right side
    53,281.50x = 6,409,283,364
  5. Step 5: Solve for x
    x = 6,409,283,364/53,281.50
  6. Step 6: Final answer
    x = 120,290.97

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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.