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Finding the Third Proportional to 58.31 and 85.69

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Solution

The third proportional to 58.31 and 85.69 is: 125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.31 : 85.69 = 85.69 : x
  2. Step 2: Convert to fraction form
    58.31/85.69 = 85.69/x
  3. Step 3: Cross multiply
    58.31x = 85.69 × 85.69
  4. Step 4: Simplify right side
    58.31x = 7,342.35
  5. Step 5: Solve for x
    x = 7,342.35/58.31
  6. Step 6: Final answer
    x = 125.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.