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Finding the Third Proportional to 93.16 and 128.46

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Solution

The third proportional to 93.16 and 128.46 is: 177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.16 : 128.46 = 128.46 : x
  2. Step 2: Convert to fraction form
    93.16/128.46 = 128.46/x
  3. Step 3: Cross multiply
    93.16x = 128.46 × 128.46
  4. Step 4: Simplify right side
    93.16x = 16,502.21
  5. Step 5: Solve for x
    x = 16,502.21/93.16
  6. Step 6: Final answer
    x = 177.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.