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Finding the Third Proportional to 75.31 and 101.63

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Solution

The third proportional to 75.31 and 101.63 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.31 : 101.63 = 101.63 : x
  2. Step 2: Convert to fraction form
    75.31/101.63 = 101.63/x
  3. Step 3: Cross multiply
    75.31x = 101.63 × 101.63
  4. Step 4: Simplify right side
    75.31x = 10,327.64
  5. Step 5: Solve for x
    x = 10,327.64/75.31
  6. Step 6: Final answer
    x = 137.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.