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Finding the Third Proportional to 60.07 and 130.95

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Solution

The third proportional to 60.07 and 130.95 is: 285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.07 : 130.95 = 130.95 : x
  2. Step 2: Convert to fraction form
    60.07/130.95 = 130.95/x
  3. Step 3: Cross multiply
    60.07x = 130.95 × 130.95
  4. Step 4: Simplify right side
    60.07x = 17,147.30
  5. Step 5: Solve for x
    x = 17,147.30/60.07
  6. Step 6: Final answer
    x = 285.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.