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Finding the Third Proportional to 76,159.50 and 118,401

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Solution

The third proportional to 76,159.50 and 118,401 is: 184,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,159.50 : 118,401 = 118,401 : x
  2. Step 2: Convert to fraction form
    76,159.50/118,401 = 118,401/x
  3. Step 3: Cross multiply
    76,159.50x = 118,401 × 118,401
  4. Step 4: Simplify right side
    76,159.50x = 14,018,796,801
  5. Step 5: Solve for x
    x = 14,018,796,801/76,159.50
  6. Step 6: Final answer
    x = 184,071.54

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