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Finding the Third Proportional to 102,284 and 156,990

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Solution

The third proportional to 102,284 and 156,990 is: 240,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284 : 156,990 = 156,990 : x
  2. Step 2: Convert to fraction form
    102,284/156,990 = 156,990/x
  3. Step 3: Cross multiply
    102,284x = 156,990 × 156,990
  4. Step 4: Simplify right side
    102,284x = 24,645,860,100
  5. Step 5: Solve for x
    x = 24,645,860,100/102,284
  6. Step 6: Final answer
    x = 240,955.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.