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Finding the Third Proportional to 65,530 and 99,511

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Solution

The third proportional to 65,530 and 99,511 is: 151,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530 : 99,511 = 99,511 : x
  2. Step 2: Convert to fraction form
    65,530/99,511 = 99,511/x
  3. Step 3: Cross multiply
    65,530x = 99,511 × 99,511
  4. Step 4: Simplify right side
    65,530x = 9,902,439,121
  5. Step 5: Solve for x
    x = 9,902,439,121/65,530
  6. Step 6: Final answer
    x = 151,113.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.