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Finding the Third Proportional to 60.26 and 130.01

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Solution

The third proportional to 60.26 and 130.01 is: 280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.26 : 130.01 = 130.01 : x
  2. Step 2: Convert to fraction form
    60.26/130.01 = 130.01/x
  3. Step 3: Cross multiply
    60.26x = 130.01 × 130.01
  4. Step 4: Simplify right side
    60.26x = 16,902.03
  5. Step 5: Solve for x
    x = 16,902.03/60.26
  6. Step 6: Final answer
    x = 280.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.