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Finding the Third Proportional to 65,452 and 100,661

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Solution

The third proportional to 65,452 and 100,661 is: 154,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,452 : 100,661 = 100,661 : x
  2. Step 2: Convert to fraction form
    65,452/100,661 = 100,661/x
  3. Step 3: Cross multiply
    65,452x = 100,661 × 100,661
  4. Step 4: Simplify right side
    65,452x = 10,132,636,921
  5. Step 5: Solve for x
    x = 10,132,636,921/65,452
  6. Step 6: Final answer
    x = 154,810.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.