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Finding the Third Proportional to 103,483 and 164,135

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Solution

The third proportional to 103,483 and 164,135 is: 260,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,483 : 164,135 = 164,135 : x
  2. Step 2: Convert to fraction form
    103,483/164,135 = 164,135/x
  3. Step 3: Cross multiply
    103,483x = 164,135 × 164,135
  4. Step 4: Simplify right side
    103,483x = 26,940,298,225
  5. Step 5: Solve for x
    x = 26,940,298,225/103,483
  6. Step 6: Final answer
    x = 260,335.50

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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.