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Finding the Third Proportional to 76,758 and 118,416

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Solution

The third proportional to 76,758 and 118,416 is: 182,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,758 : 118,416 = 118,416 : x
  2. Step 2: Convert to fraction form
    76,758/118,416 = 118,416/x
  3. Step 3: Cross multiply
    76,758x = 118,416 × 118,416
  4. Step 4: Simplify right side
    76,758x = 14,022,349,056
  5. Step 5: Solve for x
    x = 14,022,349,056/76,758
  6. Step 6: Final answer
    x = 182,682.57

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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.