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Finding the Third Proportional to 54,580 and 117,460

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Solution

The third proportional to 54,580 and 117,460 is: 252,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,580 : 117,460 = 117,460 : x
  2. Step 2: Convert to fraction form
    54,580/117,460 = 117,460/x
  3. Step 3: Cross multiply
    54,580x = 117,460 × 117,460
  4. Step 4: Simplify right side
    54,580x = 13,796,851,600
  5. Step 5: Solve for x
    x = 13,796,851,600/54,580
  6. Step 6: Final answer
    x = 252,782.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.