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Finding the Third Proportional to 65,593.13 and 100,289.81

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Solution

The third proportional to 65,593.13 and 100,289.81 is: 153,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,593.13 : 100,289.81 = 100,289.81 : x
  2. Step 2: Convert to fraction form
    65,593.13/100,289.81 = 100,289.81/x
  3. Step 3: Cross multiply
    65,593.13x = 100,289.81 × 100,289.81
  4. Step 4: Simplify right side
    65,593.13x = 10,058,046,491.29
  5. Step 5: Solve for x
    x = 10,058,046,491.29/65,593.13
  6. Step 6: Final answer
    x = 153,339.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.