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Finding the Third Proportional to 27,322.50 and 59,180.25

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Solution

The third proportional to 27,322.50 and 59,180.25 is: 128,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.50 : 59,180.25 = 59,180.25 : x
  2. Step 2: Convert to fraction form
    27,322.50/59,180.25 = 59,180.25/x
  3. Step 3: Cross multiply
    27,322.50x = 59,180.25 × 59,180.25
  4. Step 4: Simplify right side
    27,322.50x = 3,502,301,990.06
  5. Step 5: Solve for x
    x = 3,502,301,990.06/27,322.50
  6. Step 6: Final answer
    x = 128,183.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.