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Finding the Third Proportional to 65,721 and 142,515

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Solution

The third proportional to 65,721 and 142,515 is: 309,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,721 : 142,515 = 142,515 : x
  2. Step 2: Convert to fraction form
    65,721/142,515 = 142,515/x
  3. Step 3: Cross multiply
    65,721x = 142,515 × 142,515
  4. Step 4: Simplify right side
    65,721x = 20,310,525,225
  5. Step 5: Solve for x
    x = 20,310,525,225/65,721
  6. Step 6: Final answer
    x = 309,041.63

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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.