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Finding the Third Proportional to 58.50 and 138.56

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Solution

The third proportional to 58.50 and 138.56 is: 328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 138.56 = 138.56 : x
  2. Step 2: Convert to fraction form
    58.50/138.56 = 138.56/x
  3. Step 3: Cross multiply
    58.50x = 138.56 × 138.56
  4. Step 4: Simplify right side
    58.50x = 19,199.57
  5. Step 5: Solve for x
    x = 19,199.57/58.50
  6. Step 6: Final answer
    x = 328.20

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.