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Finding the Third Proportional to 69,214.50 and 106,106.50

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Solution

The third proportional to 69,214.50 and 106,106.50 is: 162,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,214.50 : 106,106.50 = 106,106.50 : x
  2. Step 2: Convert to fraction form
    69,214.50/106,106.50 = 106,106.50/x
  3. Step 3: Cross multiply
    69,214.50x = 106,106.50 × 106,106.50
  4. Step 4: Simplify right side
    69,214.50x = 11,258,589,342.25
  5. Step 5: Solve for x
    x = 11,258,589,342.25/69,214.50
  6. Step 6: Final answer
    x = 162,662.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.