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Finding the Third Proportional to 65,841 and 142,922

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Solution

The third proportional to 65,841 and 142,922 is: 310,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841 : 142,922 = 142,922 : x
  2. Step 2: Convert to fraction form
    65,841/142,922 = 142,922/x
  3. Step 3: Cross multiply
    65,841x = 142,922 × 142,922
  4. Step 4: Simplify right side
    65,841x = 20,426,698,084
  5. Step 5: Solve for x
    x = 20,426,698,084/65,841
  6. Step 6: Final answer
    x = 310,242.83

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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.