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Finding the Third Proportional to 43,653 and 95,303

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Solution

The third proportional to 43,653 and 95,303 is: 208,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,653 : 95,303 = 95,303 : x
  2. Step 2: Convert to fraction form
    43,653/95,303 = 95,303/x
  3. Step 3: Cross multiply
    43,653x = 95,303 × 95,303
  4. Step 4: Simplify right side
    43,653x = 9,082,661,809
  5. Step 5: Solve for x
    x = 9,082,661,809/43,653
  6. Step 6: Final answer
    x = 208,065.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.