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Finding the Third Proportional to 76,310 and 165,754

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Solution

The third proportional to 76,310 and 165,754 is: 360,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,310 : 165,754 = 165,754 : x
  2. Step 2: Convert to fraction form
    76,310/165,754 = 165,754/x
  3. Step 3: Cross multiply
    76,310x = 165,754 × 165,754
  4. Step 4: Simplify right side
    76,310x = 27,474,388,516
  5. Step 5: Solve for x
    x = 27,474,388,516/76,310
  6. Step 6: Final answer
    x = 360,036.54

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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.