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Finding the Third Proportional to 46,120 and 93,520

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Solution

The third proportional to 46,120 and 93,520 is: 189,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120 : 93,520 = 93,520 : x
  2. Step 2: Convert to fraction form
    46,120/93,520 = 93,520/x
  3. Step 3: Cross multiply
    46,120x = 93,520 × 93,520
  4. Step 4: Simplify right side
    46,120x = 8,745,990,400
  5. Step 5: Solve for x
    x = 8,745,990,400/46,120
  6. Step 6: Final answer
    x = 189,635.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.