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Finding the Third Proportional to 76,271.63 and 119,054.81

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Solution

The third proportional to 76,271.63 and 119,054.81 is: 185,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,271.63 : 119,054.81 = 119,054.81 : x
  2. Step 2: Convert to fraction form
    76,271.63/119,054.81 = 119,054.81/x
  3. Step 3: Cross multiply
    76,271.63x = 119,054.81 × 119,054.81
  4. Step 4: Simplify right side
    76,271.63x = 14,174,048,379.41
  5. Step 5: Solve for x
    x = 14,174,048,379.41/76,271.63
  6. Step 6: Final answer
    x = 185,836.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.