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Finding the Third Proportional to 76,014 and 120,976.50

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Solution

The third proportional to 76,014 and 120,976.50 is: 192,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,014 : 120,976.50 = 120,976.50 : x
  2. Step 2: Convert to fraction form
    76,014/120,976.50 = 120,976.50/x
  3. Step 3: Cross multiply
    76,014x = 120,976.50 × 120,976.50
  4. Step 4: Simplify right side
    76,014x = 14,635,313,552.25
  5. Step 5: Solve for x
    x = 14,635,313,552.25/76,014
  6. Step 6: Final answer
    x = 192,534.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.