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Finding the Third Proportional to 78,008 and 119,926

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Solution

The third proportional to 78,008 and 119,926 is: 184,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,008 : 119,926 = 119,926 : x
  2. Step 2: Convert to fraction form
    78,008/119,926 = 119,926/x
  3. Step 3: Cross multiply
    78,008x = 119,926 × 119,926
  4. Step 4: Simplify right side
    78,008x = 14,382,245,476
  5. Step 5: Solve for x
    x = 14,382,245,476/78,008
  6. Step 6: Final answer
    x = 184,368.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.