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Finding the Third Proportional to 66,598.88 and 142,674.75

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Solution

The third proportional to 66,598.88 and 142,674.75 is: 305,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,598.88 : 142,674.75 = 142,674.75 : x
  2. Step 2: Convert to fraction form
    66,598.88/142,674.75 = 142,674.75/x
  3. Step 3: Cross multiply
    66,598.88x = 142,674.75 × 142,674.75
  4. Step 4: Simplify right side
    66,598.88x = 20,356,084,287.56
  5. Step 5: Solve for x
    x = 20,356,084,287.56/66,598.88
  6. Step 6: Final answer
    x = 305,652.07

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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.