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Finding the Third Proportional to 55,083 and 118,914

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Solution

The third proportional to 55,083 and 118,914 is: 256,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083 : 118,914 = 118,914 : x
  2. Step 2: Convert to fraction form
    55,083/118,914 = 118,914/x
  3. Step 3: Cross multiply
    55,083x = 118,914 × 118,914
  4. Step 4: Simplify right side
    55,083x = 14,140,539,396
  5. Step 5: Solve for x
    x = 14,140,539,396/55,083
  6. Step 6: Final answer
    x = 256,713.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.