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Finding the Third Proportional to 59.03 and 130.06

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Solution

The third proportional to 59.03 and 130.06 is: 286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.03 : 130.06 = 130.06 : x
  2. Step 2: Convert to fraction form
    59.03/130.06 = 130.06/x
  3. Step 3: Cross multiply
    59.03x = 130.06 × 130.06
  4. Step 4: Simplify right side
    59.03x = 16,916.25
  5. Step 5: Solve for x
    x = 16,916.25/59.03
  6. Step 6: Final answer
    x = 286.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.