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Finding the Third Proportional to 76,148.44 and 165,008.81

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Solution

The third proportional to 76,148.44 and 165,008.81 is: 357,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148.44 : 165,008.81 = 165,008.81 : x
  2. Step 2: Convert to fraction form
    76,148.44/165,008.81 = 165,008.81/x
  3. Step 3: Cross multiply
    76,148.44x = 165,008.81 × 165,008.81
  4. Step 4: Simplify right side
    76,148.44x = 27,227,908,202.66
  5. Step 5: Solve for x
    x = 27,227,908,202.66/76,148.44
  6. Step 6: Final answer
    x = 357,563.58

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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.