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Finding the Third Proportional to 76,966.50 and 118,225

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Solution

The third proportional to 76,966.50 and 118,225 is: 181,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,966.50 : 118,225 = 118,225 : x
  2. Step 2: Convert to fraction form
    76,966.50/118,225 = 118,225/x
  3. Step 3: Cross multiply
    76,966.50x = 118,225 × 118,225
  4. Step 4: Simplify right side
    76,966.50x = 13,977,150,625
  5. Step 5: Solve for x
    x = 13,977,150,625/76,966.50
  6. Step 6: Final answer
    x = 181,600.44

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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.