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Finding the Third Proportional to 50,419 and 70,661.50

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Solution

The third proportional to 50,419 and 70,661.50 is: 99,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419 : 70,661.50 = 70,661.50 : x
  2. Step 2: Convert to fraction form
    50,419/70,661.50 = 70,661.50/x
  3. Step 3: Cross multiply
    50,419x = 70,661.50 × 70,661.50
  4. Step 4: Simplify right side
    50,419x = 4,993,047,582.25
  5. Step 5: Solve for x
    x = 4,993,047,582.25/50,419
  6. Step 6: Final answer
    x = 99,031.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.