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Finding the Third Proportional to 90,717 and 144,095

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Solution

The third proportional to 90,717 and 144,095 is: 228,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,717 : 144,095 = 144,095 : x
  2. Step 2: Convert to fraction form
    90,717/144,095 = 144,095/x
  3. Step 3: Cross multiply
    90,717x = 144,095 × 144,095
  4. Step 4: Simplify right side
    90,717x = 20,763,369,025
  5. Step 5: Solve for x
    x = 20,763,369,025/90,717
  6. Step 6: Final answer
    x = 228,880.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.