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Finding the Third Proportional to 76,406.63 and 167,011.88

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Solution

The third proportional to 76,406.63 and 167,011.88 is: 365,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,406.63 : 167,011.88 = 167,011.88 : x
  2. Step 2: Convert to fraction form
    76,406.63/167,011.88 = 167,011.88/x
  3. Step 3: Cross multiply
    76,406.63x = 167,011.88 × 167,011.88
  4. Step 4: Simplify right side
    76,406.63x = 27,892,966,391.02
  5. Step 5: Solve for x
    x = 27,892,966,391.02/76,406.63
  6. Step 6: Final answer
    x = 365,059.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.