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Finding the Third Proportional to 64,975 and 142,358.50

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Solution

The third proportional to 64,975 and 142,358.50 is: 311,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,975 : 142,358.50 = 142,358.50 : x
  2. Step 2: Convert to fraction form
    64,975/142,358.50 = 142,358.50/x
  3. Step 3: Cross multiply
    64,975x = 142,358.50 × 142,358.50
  4. Step 4: Simplify right side
    64,975x = 20,265,942,522.25
  5. Step 5: Solve for x
    x = 20,265,942,522.25/64,975
  6. Step 6: Final answer
    x = 311,903.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.