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Finding the Third Proportional to 51,202.50 and 106,492.50

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Solution

The third proportional to 51,202.50 and 106,492.50 is: 221,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202.50 : 106,492.50 = 106,492.50 : x
  2. Step 2: Convert to fraction form
    51,202.50/106,492.50 = 106,492.50/x
  3. Step 3: Cross multiply
    51,202.50x = 106,492.50 × 106,492.50
  4. Step 4: Simplify right side
    51,202.50x = 11,340,652,556.25
  5. Step 5: Solve for x
    x = 11,340,652,556.25/51,202.50
  6. Step 6: Final answer
    x = 221,486.31

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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.