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Finding the Third Proportional to 58.75 and 138.06

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Solution

The third proportional to 58.75 and 138.06 is: 324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.75 : 138.06 = 138.06 : x
  2. Step 2: Convert to fraction form
    58.75/138.06 = 138.06/x
  3. Step 3: Cross multiply
    58.75x = 138.06 × 138.06
  4. Step 4: Simplify right side
    58.75x = 19,061.25
  5. Step 5: Solve for x
    x = 19,061.25/58.75
  6. Step 6: Final answer
    x = 324.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.