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Finding the Third Proportional to 73,228 and 109,590

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Solution

The third proportional to 73,228 and 109,590 is: 164,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,228 : 109,590 = 109,590 : x
  2. Step 2: Convert to fraction form
    73,228/109,590 = 109,590/x
  3. Step 3: Cross multiply
    73,228x = 109,590 × 109,590
  4. Step 4: Simplify right side
    73,228x = 12,009,968,100
  5. Step 5: Solve for x
    x = 12,009,968,100/73,228
  6. Step 6: Final answer
    x = 164,007.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.