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Finding the Third Proportional to 59,105.53 and 128,258.02

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Solution

The third proportional to 59,105.53 and 128,258.02 is: 278,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,105.53 : 128,258.02 = 128,258.02 : x
  2. Step 2: Convert to fraction form
    59,105.53/128,258.02 = 128,258.02/x
  3. Step 3: Cross multiply
    59,105.53x = 128,258.02 × 128,258.02
  4. Step 4: Simplify right side
    59,105.53x = 16,450,118,572.06
  5. Step 5: Solve for x
    x = 16,450,118,572.06/59,105.53
  6. Step 6: Final answer
    x = 278,317.75

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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.