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Finding the Third Proportional to 102,340 and 163,989

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Solution

The third proportional to 102,340 and 163,989 is: 262,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,340 : 163,989 = 163,989 : x
  2. Step 2: Convert to fraction form
    102,340/163,989 = 163,989/x
  3. Step 3: Cross multiply
    102,340x = 163,989 × 163,989
  4. Step 4: Simplify right side
    102,340x = 26,892,392,121
  5. Step 5: Solve for x
    x = 26,892,392,121/102,340
  6. Step 6: Final answer
    x = 262,774.99

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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.