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Finding the Third Proportional to 60,219.28 and 142,414.03

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Solution

The third proportional to 60,219.28 and 142,414.03 is: 336,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,219.28 : 142,414.03 = 142,414.03 : x
  2. Step 2: Convert to fraction form
    60,219.28/142,414.03 = 142,414.03/x
  3. Step 3: Cross multiply
    60,219.28x = 142,414.03 × 142,414.03
  4. Step 4: Simplify right side
    60,219.28x = 20,281,756,296.88
  5. Step 5: Solve for x
    x = 20,281,756,296.88/60,219.28
  6. Step 6: Final answer
    x = 336,798.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.