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Finding the Third Proportional to 46,048 and 94,688

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Solution

The third proportional to 46,048 and 94,688 is: 194,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048 : 94,688 = 94,688 : x
  2. Step 2: Convert to fraction form
    46,048/94,688 = 94,688/x
  3. Step 3: Cross multiply
    46,048x = 94,688 × 94,688
  4. Step 4: Simplify right side
    46,048x = 8,965,817,344
  5. Step 5: Solve for x
    x = 8,965,817,344/46,048
  6. Step 6: Final answer
    x = 194,705.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.