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Finding the Third Proportional to 76,505 and 165,724

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Solution

The third proportional to 76,505 and 165,724 is: 358,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505 : 165,724 = 165,724 : x
  2. Step 2: Convert to fraction form
    76,505/165,724 = 165,724/x
  3. Step 3: Cross multiply
    76,505x = 165,724 × 165,724
  4. Step 4: Simplify right side
    76,505x = 27,464,444,176
  5. Step 5: Solve for x
    x = 27,464,444,176/76,505
  6. Step 6: Final answer
    x = 358,988.88

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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.