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Finding the Third Proportional to 76,028 and 109,516

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Solution

The third proportional to 76,028 and 109,516 is: 157,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,028 : 109,516 = 109,516 : x
  2. Step 2: Convert to fraction form
    76,028/109,516 = 109,516/x
  3. Step 3: Cross multiply
    76,028x = 109,516 × 109,516
  4. Step 4: Simplify right side
    76,028x = 11,993,754,256
  5. Step 5: Solve for x
    x = 11,993,754,256/76,028
  6. Step 6: Final answer
    x = 157,754.44

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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.