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Finding the Third Proportional to 57.93 and 90.10

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Solution

The third proportional to 57.93 and 90.10 is: 140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.93 : 90.10 = 90.10 : x
  2. Step 2: Convert to fraction form
    57.93/90.10 = 90.10/x
  3. Step 3: Cross multiply
    57.93x = 90.10 × 90.10
  4. Step 4: Simplify right side
    57.93x = 8,118.30
  5. Step 5: Solve for x
    x = 8,118.30/57.93
  6. Step 6: Final answer
    x = 140.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.