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Finding the Third Proportional to 76,970 and 168,125.50

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Solution

The third proportional to 76,970 and 168,125.50 is: 367,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970 : 168,125.50 = 168,125.50 : x
  2. Step 2: Convert to fraction form
    76,970/168,125.50 = 168,125.50/x
  3. Step 3: Cross multiply
    76,970x = 168,125.50 × 168,125.50
  4. Step 4: Simplify right side
    76,970x = 28,266,183,750.25
  5. Step 5: Solve for x
    x = 28,266,183,750.25/76,970
  6. Step 6: Final answer
    x = 367,236.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.