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Finding the Third Proportional to 64,690.50 and 100,419

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Solution

The third proportional to 64,690.50 and 100,419 is: 155,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,690.50 : 100,419 = 100,419 : x
  2. Step 2: Convert to fraction form
    64,690.50/100,419 = 100,419/x
  3. Step 3: Cross multiply
    64,690.50x = 100,419 × 100,419
  4. Step 4: Simplify right side
    64,690.50x = 10,083,975,561
  5. Step 5: Solve for x
    x = 10,083,975,561/64,690.50
  6. Step 6: Final answer
    x = 155,880.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.