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Finding the Third Proportional to 30,073 and 65,270

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Solution

The third proportional to 30,073 and 65,270 is: 141,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,073 : 65,270 = 65,270 : x
  2. Step 2: Convert to fraction form
    30,073/65,270 = 65,270/x
  3. Step 3: Cross multiply
    30,073x = 65,270 × 65,270
  4. Step 4: Simplify right side
    30,073x = 4,260,172,900
  5. Step 5: Solve for x
    x = 4,260,172,900/30,073
  6. Step 6: Final answer
    x = 141,661.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.