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Finding the Third Proportional to 103,990.75 and 164,522.50

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Solution

The third proportional to 103,990.75 and 164,522.50 is: 260,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,990.75 : 164,522.50 = 164,522.50 : x
  2. Step 2: Convert to fraction form
    103,990.75/164,522.50 = 164,522.50/x
  3. Step 3: Cross multiply
    103,990.75x = 164,522.50 × 164,522.50
  4. Step 4: Simplify right side
    103,990.75x = 27,067,653,006.25
  5. Step 5: Solve for x
    x = 27,067,653,006.25/103,990.75
  6. Step 6: Final answer
    x = 260,289.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.