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Finding the Third Proportional to 76,504 and 118,752

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Solution

The third proportional to 76,504 and 118,752 is: 184,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504 : 118,752 = 118,752 : x
  2. Step 2: Convert to fraction form
    76,504/118,752 = 118,752/x
  3. Step 3: Cross multiply
    76,504x = 118,752 × 118,752
  4. Step 4: Simplify right side
    76,504x = 14,102,037,504
  5. Step 5: Solve for x
    x = 14,102,037,504/76,504
  6. Step 6: Final answer
    x = 184,330.72

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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.