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Finding the Third Proportional to 58,668 and 90,884

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Solution

The third proportional to 58,668 and 90,884 is: 140,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,668 : 90,884 = 90,884 : x
  2. Step 2: Convert to fraction form
    58,668/90,884 = 90,884/x
  3. Step 3: Cross multiply
    58,668x = 90,884 × 90,884
  4. Step 4: Simplify right side
    58,668x = 8,259,901,456
  5. Step 5: Solve for x
    x = 8,259,901,456/58,668
  6. Step 6: Final answer
    x = 140,790.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.