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Finding the Third Proportional to 53,998 and 118,622

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Solution

The third proportional to 53,998 and 118,622 is: 260,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,998 : 118,622 = 118,622 : x
  2. Step 2: Convert to fraction form
    53,998/118,622 = 118,622/x
  3. Step 3: Cross multiply
    53,998x = 118,622 × 118,622
  4. Step 4: Simplify right side
    53,998x = 14,071,178,884
  5. Step 5: Solve for x
    x = 14,071,178,884/53,998
  6. Step 6: Final answer
    x = 260,587.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.