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Finding the Third Proportional to 65,321 and 100,955

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Solution

The third proportional to 65,321 and 100,955 is: 156,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321 : 100,955 = 100,955 : x
  2. Step 2: Convert to fraction form
    65,321/100,955 = 100,955/x
  3. Step 3: Cross multiply
    65,321x = 100,955 × 100,955
  4. Step 4: Simplify right side
    65,321x = 10,191,912,025
  5. Step 5: Solve for x
    x = 10,191,912,025/65,321
  6. Step 6: Final answer
    x = 156,028.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.