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Finding the Third Proportional to 78,823.13 and 119,054.81

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Solution

The third proportional to 78,823.13 and 119,054.81 is: 179,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.13 : 119,054.81 = 119,054.81 : x
  2. Step 2: Convert to fraction form
    78,823.13/119,054.81 = 119,054.81/x
  3. Step 3: Cross multiply
    78,823.13x = 119,054.81 × 119,054.81
  4. Step 4: Simplify right side
    78,823.13x = 14,174,048,379.41
  5. Step 5: Solve for x
    x = 14,174,048,379.41/78,823.13
  6. Step 6: Final answer
    x = 179,820.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.