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Finding the Third Proportional to 46,440 and 110,745

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Solution

The third proportional to 46,440 and 110,745 is: 264,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,440 : 110,745 = 110,745 : x
  2. Step 2: Convert to fraction form
    46,440/110,745 = 110,745/x
  3. Step 3: Cross multiply
    46,440x = 110,745 × 110,745
  4. Step 4: Simplify right side
    46,440x = 12,264,455,025
  5. Step 5: Solve for x
    x = 12,264,455,025/46,440
  6. Step 6: Final answer
    x = 264,092.49

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.