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Finding the Third Proportional to 76,429.50 and 110,087.63

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Solution

The third proportional to 76,429.50 and 110,087.63 is: 158,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429.50 : 110,087.63 = 110,087.63 : x
  2. Step 2: Convert to fraction form
    76,429.50/110,087.63 = 110,087.63/x
  3. Step 3: Cross multiply
    76,429.50x = 110,087.63 × 110,087.63
  4. Step 4: Simplify right side
    76,429.50x = 12,119,285,178.14
  5. Step 5: Solve for x
    x = 12,119,285,178.14/76,429.50
  6. Step 6: Final answer
    x = 158,568.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.