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Finding the Third Proportional to 76,514.63 and 162,293.63

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Solution

The third proportional to 76,514.63 and 162,293.63 is: 344,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,514.63 : 162,293.63 = 162,293.63 : x
  2. Step 2: Convert to fraction form
    76,514.63/162,293.63 = 162,293.63/x
  3. Step 3: Cross multiply
    76,514.63x = 162,293.63 × 162,293.63
  4. Step 4: Simplify right side
    76,514.63x = 26,339,220,715.64
  5. Step 5: Solve for x
    x = 26,339,220,715.64/76,514.63
  6. Step 6: Final answer
    x = 344,237.73

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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.