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Finding the Third Proportional to 53,444 and 110,280

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Solution

The third proportional to 53,444 and 110,280 is: 227,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,444 : 110,280 = 110,280 : x
  2. Step 2: Convert to fraction form
    53,444/110,280 = 110,280/x
  3. Step 3: Cross multiply
    53,444x = 110,280 × 110,280
  4. Step 4: Simplify right side
    53,444x = 12,161,678,400
  5. Step 5: Solve for x
    x = 12,161,678,400/53,444
  6. Step 6: Final answer
    x = 227,559.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.