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Finding the Third Proportional to 46,258 and 68,734

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Solution

The third proportional to 46,258 and 68,734 is: 102,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,258 : 68,734 = 68,734 : x
  2. Step 2: Convert to fraction form
    46,258/68,734 = 68,734/x
  3. Step 3: Cross multiply
    46,258x = 68,734 × 68,734
  4. Step 4: Simplify right side
    46,258x = 4,724,362,756
  5. Step 5: Solve for x
    x = 4,724,362,756/46,258
  6. Step 6: Final answer
    x = 102,130.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.