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Finding the Third Proportional to 76,485.38 and 162,087.75

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Solution

The third proportional to 76,485.38 and 162,087.75 is: 343,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,485.38 : 162,087.75 = 162,087.75 : x
  2. Step 2: Convert to fraction form
    76,485.38/162,087.75 = 162,087.75/x
  3. Step 3: Cross multiply
    76,485.38x = 162,087.75 × 162,087.75
  4. Step 4: Simplify right side
    76,485.38x = 26,272,438,700.06
  5. Step 5: Solve for x
    x = 26,272,438,700.06/76,485.38
  6. Step 6: Final answer
    x = 343,496.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.