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Finding the Third Proportional to 65,600 and 101,308

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Solution

The third proportional to 65,600 and 101,308 is: 156,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,600 : 101,308 = 101,308 : x
  2. Step 2: Convert to fraction form
    65,600/101,308 = 101,308/x
  3. Step 3: Cross multiply
    65,600x = 101,308 × 101,308
  4. Step 4: Simplify right side
    65,600x = 10,263,310,864
  5. Step 5: Solve for x
    x = 10,263,310,864/65,600
  6. Step 6: Final answer
    x = 156,452.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.