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Finding the Third Proportional to 30,224 and 65,308

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Solution

The third proportional to 30,224 and 65,308 is: 141,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224 : 65,308 = 65,308 : x
  2. Step 2: Convert to fraction form
    30,224/65,308 = 65,308/x
  3. Step 3: Cross multiply
    30,224x = 65,308 × 65,308
  4. Step 4: Simplify right side
    30,224x = 4,265,134,864
  5. Step 5: Solve for x
    x = 4,265,134,864/30,224
  6. Step 6: Final answer
    x = 141,117.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.