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Finding the Third Proportional to 76,598 and 110,326

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Solution

The third proportional to 76,598 and 110,326 is: 158,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,598 : 110,326 = 110,326 : x
  2. Step 2: Convert to fraction form
    76,598/110,326 = 110,326/x
  3. Step 3: Cross multiply
    76,598x = 110,326 × 110,326
  4. Step 4: Simplify right side
    76,598x = 12,171,826,276
  5. Step 5: Solve for x
    x = 12,171,826,276/76,598
  6. Step 6: Final answer
    x = 158,905.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.