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Finding the Third Proportional to 46,708 and 109,258

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Solution

The third proportional to 46,708 and 109,258 is: 255,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708 : 109,258 = 109,258 : x
  2. Step 2: Convert to fraction form
    46,708/109,258 = 109,258/x
  3. Step 3: Cross multiply
    46,708x = 109,258 × 109,258
  4. Step 4: Simplify right side
    46,708x = 11,937,310,564
  5. Step 5: Solve for x
    x = 11,937,310,564/46,708
  6. Step 6: Final answer
    x = 255,573.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.