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Finding the Third Proportional to 60.19 and 146.25

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Solution

The third proportional to 60.19 and 146.25 is: 355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.19 : 146.25 = 146.25 : x
  2. Step 2: Convert to fraction form
    60.19/146.25 = 146.25/x
  3. Step 3: Cross multiply
    60.19x = 146.25 × 146.25
  4. Step 4: Simplify right side
    60.19x = 21,389.06
  5. Step 5: Solve for x
    x = 21,389.06/60.19
  6. Step 6: Final answer
    x = 355.37

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.