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Finding the Third Proportional to 76,429.41 and 110,087.44

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Solution

The third proportional to 76,429.41 and 110,087.44 is: 158,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429.41 : 110,087.44 = 110,087.44 : x
  2. Step 2: Convert to fraction form
    76,429.41/110,087.44 = 110,087.44/x
  3. Step 3: Cross multiply
    76,429.41x = 110,087.44 × 110,087.44
  4. Step 4: Simplify right side
    76,429.41x = 12,119,243,895.32
  5. Step 5: Solve for x
    x = 12,119,243,895.32/76,429.41
  6. Step 6: Final answer
    x = 158,567.81

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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.