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Finding the Third Proportional to 55,480 and 118,904

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Solution

The third proportional to 55,480 and 118,904 is: 254,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,480 : 118,904 = 118,904 : x
  2. Step 2: Convert to fraction form
    55,480/118,904 = 118,904/x
  3. Step 3: Cross multiply
    55,480x = 118,904 × 118,904
  4. Step 4: Simplify right side
    55,480x = 14,138,161,216
  5. Step 5: Solve for x
    x = 14,138,161,216/55,480
  6. Step 6: Final answer
    x = 254,833.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.