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Finding the Third Proportional to 64.37 and 101.72

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Solution

The third proportional to 64.37 and 101.72 is: 160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.37 : 101.72 = 101.72 : x
  2. Step 2: Convert to fraction form
    64.37/101.72 = 101.72/x
  3. Step 3: Cross multiply
    64.37x = 101.72 × 101.72
  4. Step 4: Simplify right side
    64.37x = 10,347.90
  5. Step 5: Solve for x
    x = 10,347.90/64.37
  6. Step 6: Final answer
    x = 160.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.