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Finding the Third Proportional to 68.63 and 97.10

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Solution

The third proportional to 68.63 and 97.10 is: 137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.63 : 97.10 = 97.10 : x
  2. Step 2: Convert to fraction form
    68.63/97.10 = 97.10/x
  3. Step 3: Cross multiply
    68.63x = 97.10 × 97.10
  4. Step 4: Simplify right side
    68.63x = 9,428.71
  5. Step 5: Solve for x
    x = 9,428.71/68.63
  6. Step 6: Final answer
    x = 137.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.