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Finding the Third Proportional to 59,136.75 and 121,034.25

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Solution

The third proportional to 59,136.75 and 121,034.25 is: 247,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,136.75 : 121,034.25 = 121,034.25 : x
  2. Step 2: Convert to fraction form
    59,136.75/121,034.25 = 121,034.25/x
  3. Step 3: Cross multiply
    59,136.75x = 121,034.25 × 121,034.25
  4. Step 4: Simplify right side
    59,136.75x = 14,649,289,673.06
  5. Step 5: Solve for x
    x = 14,649,289,673.06/59,136.75
  6. Step 6: Final answer
    x = 247,718.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.