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Finding the Third Proportional to 76,199.25 and 164,926.50

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Solution

The third proportional to 76,199.25 and 164,926.50 is: 356,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,199.25 : 164,926.50 = 164,926.50 : x
  2. Step 2: Convert to fraction form
    76,199.25/164,926.50 = 164,926.50/x
  3. Step 3: Cross multiply
    76,199.25x = 164,926.50 × 164,926.50
  4. Step 4: Simplify right side
    76,199.25x = 27,200,750,402.25
  5. Step 5: Solve for x
    x = 27,200,750,402.25/76,199.25
  6. Step 6: Final answer
    x = 356,968.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.