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Finding the Third Proportional to 109,717 and 147,079.50

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Solution

The third proportional to 109,717 and 147,079.50 is: 197,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717 : 147,079.50 = 147,079.50 : x
  2. Step 2: Convert to fraction form
    109,717/147,079.50 = 147,079.50/x
  3. Step 3: Cross multiply
    109,717x = 147,079.50 × 147,079.50
  4. Step 4: Simplify right side
    109,717x = 21,632,379,320.25
  5. Step 5: Solve for x
    x = 21,632,379,320.25/109,717
  6. Step 6: Final answer
    x = 197,165.25

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.