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Finding the Third Proportional to 58.50 and 116.63

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Solution

The third proportional to 58.50 and 116.63 is: 232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 116.63 = 116.63 : x
  2. Step 2: Convert to fraction form
    58.50/116.63 = 116.63/x
  3. Step 3: Cross multiply
    58.50x = 116.63 × 116.63
  4. Step 4: Simplify right side
    58.50x = 13,601.39
  5. Step 5: Solve for x
    x = 13,601.39/58.50
  6. Step 6: Final answer
    x = 232.50

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.