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Finding the Third Proportional to 51,319 and 106,719.50

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Solution

The third proportional to 51,319 and 106,719.50 is: 221,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,319 : 106,719.50 = 106,719.50 : x
  2. Step 2: Convert to fraction form
    51,319/106,719.50 = 106,719.50/x
  3. Step 3: Cross multiply
    51,319x = 106,719.50 × 106,719.50
  4. Step 4: Simplify right side
    51,319x = 11,389,051,680.25
  5. Step 5: Solve for x
    x = 11,389,051,680.25/51,319
  6. Step 6: Final answer
    x = 221,926.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.