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Finding the Third Proportional to 65,367.63 and 101,007.32

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Solution

The third proportional to 65,367.63 and 101,007.32 is: 156,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.63 : 101,007.32 = 101,007.32 : x
  2. Step 2: Convert to fraction form
    65,367.63/101,007.32 = 101,007.32/x
  3. Step 3: Cross multiply
    65,367.63x = 101,007.32 × 101,007.32
  4. Step 4: Simplify right side
    65,367.63x = 10,202,477,967.59
  5. Step 5: Solve for x
    x = 10,202,477,967.59/65,367.63
  6. Step 6: Final answer
    x = 156,078.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.