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Finding the Third Proportional to 62.63 and 89.34

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Solution

The third proportional to 62.63 and 89.34 is: 127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.63 : 89.34 = 89.34 : x
  2. Step 2: Convert to fraction form
    62.63/89.34 = 89.34/x
  3. Step 3: Cross multiply
    62.63x = 89.34 × 89.34
  4. Step 4: Simplify right side
    62.63x = 7,982.31
  5. Step 5: Solve for x
    x = 7,982.31/62.63
  6. Step 6: Final answer
    x = 127.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.