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Finding the Third Proportional to 102.30 and 162.84

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Solution

The third proportional to 102.30 and 162.84 is: 259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 162.84 = 162.84 : x
  2. Step 2: Convert to fraction form
    102.30/162.84 = 162.84/x
  3. Step 3: Cross multiply
    102.30x = 162.84 × 162.84
  4. Step 4: Simplify right side
    102.30x = 26,518.09
  5. Step 5: Solve for x
    x = 26,518.09/102.30
  6. Step 6: Final answer
    x = 259.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.