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Finding the Third Proportional to 102,928.50 and 164,337

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Solution

The third proportional to 102,928.50 and 164,337 is: 262,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,928.50 : 164,337 = 164,337 : x
  2. Step 2: Convert to fraction form
    102,928.50/164,337 = 164,337/x
  3. Step 3: Cross multiply
    102,928.50x = 164,337 × 164,337
  4. Step 4: Simplify right side
    102,928.50x = 27,006,649,569
  5. Step 5: Solve for x
    x = 27,006,649,569/102,928.50
  6. Step 6: Final answer
    x = 262,382.62

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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.