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Finding the Third Proportional to 76,048 and 114,306

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Solution

The third proportional to 76,048 and 114,306 is: 171,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,048 : 114,306 = 114,306 : x
  2. Step 2: Convert to fraction form
    76,048/114,306 = 114,306/x
  3. Step 3: Cross multiply
    76,048x = 114,306 × 114,306
  4. Step 4: Simplify right side
    76,048x = 13,065,861,636
  5. Step 5: Solve for x
    x = 13,065,861,636/76,048
  6. Step 6: Final answer
    x = 171,810.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.