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Finding the Third Proportional to 101.02 and 162.05

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Solution

The third proportional to 101.02 and 162.05 is: 259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.02 : 162.05 = 162.05 : x
  2. Step 2: Convert to fraction form
    101.02/162.05 = 162.05/x
  3. Step 3: Cross multiply
    101.02x = 162.05 × 162.05
  4. Step 4: Simplify right side
    101.02x = 26,259.19
  5. Step 5: Solve for x
    x = 26,259.19/101.02
  6. Step 6: Final answer
    x = 259.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.