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Finding the Third Proportional to 92.16 and 130.97

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Solution

The third proportional to 92.16 and 130.97 is: 186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.16 : 130.97 = 130.97 : x
  2. Step 2: Convert to fraction form
    92.16/130.97 = 130.97/x
  3. Step 3: Cross multiply
    92.16x = 130.97 × 130.97
  4. Step 4: Simplify right side
    92.16x = 17,152.81
  5. Step 5: Solve for x
    x = 17,152.81/92.16
  6. Step 6: Final answer
    x = 186.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.