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Finding the Third Proportional to 46,331 and 96,580

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Solution

The third proportional to 46,331 and 96,580 is: 201,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,331 : 96,580 = 96,580 : x
  2. Step 2: Convert to fraction form
    46,331/96,580 = 96,580/x
  3. Step 3: Cross multiply
    46,331x = 96,580 × 96,580
  4. Step 4: Simplify right side
    46,331x = 9,327,696,400
  5. Step 5: Solve for x
    x = 9,327,696,400/46,331
  6. Step 6: Final answer
    x = 201,327.33

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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.