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Finding the Third Proportional to 76,929.75 and 166,981.50

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Solution

The third proportional to 76,929.75 and 166,981.50 is: 362,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,929.75 : 166,981.50 = 166,981.50 : x
  2. Step 2: Convert to fraction form
    76,929.75/166,981.50 = 166,981.50/x
  3. Step 3: Cross multiply
    76,929.75x = 166,981.50 × 166,981.50
  4. Step 4: Simplify right side
    76,929.75x = 27,882,821,342.25
  5. Step 5: Solve for x
    x = 27,882,821,342.25/76,929.75
  6. Step 6: Final answer
    x = 362,445.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.