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Finding the Third Proportional to 44,243 and 96,260

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Solution

The third proportional to 44,243 and 96,260 is: 209,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,243 : 96,260 = 96,260 : x
  2. Step 2: Convert to fraction form
    44,243/96,260 = 96,260/x
  3. Step 3: Cross multiply
    44,243x = 96,260 × 96,260
  4. Step 4: Simplify right side
    44,243x = 9,265,987,600
  5. Step 5: Solve for x
    x = 9,265,987,600/44,243
  6. Step 6: Final answer
    x = 209,433.98

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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.