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Finding the Third Proportional to 46,768 and 112,708

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Solution

The third proportional to 46,768 and 112,708 is: 271,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,768 : 112,708 = 112,708 : x
  2. Step 2: Convert to fraction form
    46,768/112,708 = 112,708/x
  3. Step 3: Cross multiply
    46,768x = 112,708 × 112,708
  4. Step 4: Simplify right side
    46,768x = 12,703,093,264
  5. Step 5: Solve for x
    x = 12,703,093,264/46,768
  6. Step 6: Final answer
    x = 271,619.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.