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Finding the Third Proportional to 46,055 and 96,281

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Solution

The third proportional to 46,055 and 96,281 is: 201,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,055 : 96,281 = 96,281 : x
  2. Step 2: Convert to fraction form
    46,055/96,281 = 96,281/x
  3. Step 3: Cross multiply
    46,055x = 96,281 × 96,281
  4. Step 4: Simplify right side
    46,055x = 9,270,030,961
  5. Step 5: Solve for x
    x = 9,270,030,961/46,055
  6. Step 6: Final answer
    x = 201,281.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.