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Finding the Third Proportional to 59.33 and 130.04

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Solution

The third proportional to 59.33 and 130.04 is: 285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.33 : 130.04 = 130.04 : x
  2. Step 2: Convert to fraction form
    59.33/130.04 = 130.04/x
  3. Step 3: Cross multiply
    59.33x = 130.04 × 130.04
  4. Step 4: Simplify right side
    59.33x = 16,911.17
  5. Step 5: Solve for x
    x = 16,911.17/59.33
  6. Step 6: Final answer
    x = 285.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.