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Finding the Third Proportional to 46,261 and 96,158

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Solution

The third proportional to 46,261 and 96,158 is: 199,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,261 : 96,158 = 96,158 : x
  2. Step 2: Convert to fraction form
    46,261/96,158 = 96,158/x
  3. Step 3: Cross multiply
    46,261x = 96,158 × 96,158
  4. Step 4: Simplify right side
    46,261x = 9,246,360,964
  5. Step 5: Solve for x
    x = 9,246,360,964/46,261
  6. Step 6: Final answer
    x = 199,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.