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Finding the Third Proportional to 54,724 and 118,502

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Solution

The third proportional to 54,724 and 118,502 is: 256,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,724 : 118,502 = 118,502 : x
  2. Step 2: Convert to fraction form
    54,724/118,502 = 118,502/x
  3. Step 3: Cross multiply
    54,724x = 118,502 × 118,502
  4. Step 4: Simplify right side
    54,724x = 14,042,724,004
  5. Step 5: Solve for x
    x = 14,042,724,004/54,724
  6. Step 6: Final answer
    x = 256,609.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.