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Finding the Third Proportional to 76,519.13 and 118,774.69

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Solution

The third proportional to 76,519.13 and 118,774.69 is: 184,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,519.13 : 118,774.69 = 118,774.69 : x
  2. Step 2: Convert to fraction form
    76,519.13/118,774.69 = 118,774.69/x
  3. Step 3: Cross multiply
    76,519.13x = 118,774.69 × 118,774.69
  4. Step 4: Simplify right side
    76,519.13x = 14,107,426,390.72
  5. Step 5: Solve for x
    x = 14,107,426,390.72/76,519.13
  6. Step 6: Final answer
    x = 184,364.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.