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Finding the Third Proportional to 37,719 and 80,914

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Solution

The third proportional to 37,719 and 80,914 is: 173,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,719 : 80,914 = 80,914 : x
  2. Step 2: Convert to fraction form
    37,719/80,914 = 80,914/x
  3. Step 3: Cross multiply
    37,719x = 80,914 × 80,914
  4. Step 4: Simplify right side
    37,719x = 6,547,075,396
  5. Step 5: Solve for x
    x = 6,547,075,396/37,719
  6. Step 6: Final answer
    x = 173,575.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.