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Finding the Third Proportional to 56,494 and 122,284

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Solution

The third proportional to 56,494 and 122,284 is: 264,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494 : 122,284 = 122,284 : x
  2. Step 2: Convert to fraction form
    56,494/122,284 = 122,284/x
  3. Step 3: Cross multiply
    56,494x = 122,284 × 122,284
  4. Step 4: Simplify right side
    56,494x = 14,953,376,656
  5. Step 5: Solve for x
    x = 14,953,376,656/56,494
  6. Step 6: Final answer
    x = 264,689.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.