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Finding the Third Proportional to 46,237 and 94,659

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Solution

The third proportional to 46,237 and 94,659 is: 193,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,237 : 94,659 = 94,659 : x
  2. Step 2: Convert to fraction form
    46,237/94,659 = 94,659/x
  3. Step 3: Cross multiply
    46,237x = 94,659 × 94,659
  4. Step 4: Simplify right side
    46,237x = 8,960,326,281
  5. Step 5: Solve for x
    x = 8,960,326,281/46,237
  6. Step 6: Final answer
    x = 193,791.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.