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Finding the Third Proportional to 58.31 and 90.31

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Solution

The third proportional to 58.31 and 90.31 is: 139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.31 : 90.31 = 90.31 : x
  2. Step 2: Convert to fraction form
    58.31/90.31 = 90.31/x
  3. Step 3: Cross multiply
    58.31x = 90.31 × 90.31
  4. Step 4: Simplify right side
    58.31x = 8,156.35
  5. Step 5: Solve for x
    x = 8,156.35/58.31
  6. Step 6: Final answer
    x = 139.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.