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Finding the Third Proportional to 66,758.50 and 142,994

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Solution

The third proportional to 66,758.50 and 142,994 is: 306,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,758.50 : 142,994 = 142,994 : x
  2. Step 2: Convert to fraction form
    66,758.50/142,994 = 142,994/x
  3. Step 3: Cross multiply
    66,758.50x = 142,994 × 142,994
  4. Step 4: Simplify right side
    66,758.50x = 20,447,284,036
  5. Step 5: Solve for x
    x = 20,447,284,036/66,758.50
  6. Step 6: Final answer
    x = 306,287.35

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