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Finding the Third Proportional to 55,693.50 and 117,994

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Solution

The third proportional to 55,693.50 and 117,994 is: 249,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,693.50 : 117,994 = 117,994 : x
  2. Step 2: Convert to fraction form
    55,693.50/117,994 = 117,994/x
  3. Step 3: Cross multiply
    55,693.50x = 117,994 × 117,994
  4. Step 4: Simplify right side
    55,693.50x = 13,922,584,036
  5. Step 5: Solve for x
    x = 13,922,584,036/55,693.50
  6. Step 6: Final answer
    x = 249,985.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.