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Finding the Third Proportional to 55,408 and 118,754

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Solution

The third proportional to 55,408 and 118,754 is: 254,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,408 : 118,754 = 118,754 : x
  2. Step 2: Convert to fraction form
    55,408/118,754 = 118,754/x
  3. Step 3: Cross multiply
    55,408x = 118,754 × 118,754
  4. Step 4: Simplify right side
    55,408x = 14,102,512,516
  5. Step 5: Solve for x
    x = 14,102,512,516/55,408
  6. Step 6: Final answer
    x = 254,521.23

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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.