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Finding the Third Proportional to 65,414.63 and 103,751.44

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Solution

The third proportional to 65,414.63 and 103,751.44 is: 164,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.63 : 103,751.44 = 103,751.44 : x
  2. Step 2: Convert to fraction form
    65,414.63/103,751.44 = 103,751.44/x
  3. Step 3: Cross multiply
    65,414.63x = 103,751.44 × 103,751.44
  4. Step 4: Simplify right side
    65,414.63x = 10,764,360,783.32
  5. Step 5: Solve for x
    x = 10,764,360,783.32/65,414.63
  6. Step 6: Final answer
    x = 164,555.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.