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Finding the Third Proportional to 76,315.50 and 154,701

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Solution

The third proportional to 76,315.50 and 154,701 is: 313,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,315.50 : 154,701 = 154,701 : x
  2. Step 2: Convert to fraction form
    76,315.50/154,701 = 154,701/x
  3. Step 3: Cross multiply
    76,315.50x = 154,701 × 154,701
  4. Step 4: Simplify right side
    76,315.50x = 23,932,399,401
  5. Step 5: Solve for x
    x = 23,932,399,401/76,315.50
  6. Step 6: Final answer
    x = 313,598.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.