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Finding the Third Proportional to 76,102.59 and 165,173.34

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Solution

The third proportional to 76,102.59 and 165,173.34 is: 358,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.59 : 165,173.34 = 165,173.34 : x
  2. Step 2: Convert to fraction form
    76,102.59/165,173.34 = 165,173.34/x
  3. Step 3: Cross multiply
    76,102.59x = 165,173.34 × 165,173.34
  4. Step 4: Simplify right side
    76,102.59x = 27,282,233,485.56
  5. Step 5: Solve for x
    x = 27,282,233,485.56/76,102.59
  6. Step 6: Final answer
    x = 358,492.82

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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.