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Finding the Third Proportional to 76,026.09 and 109,512

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Solution

The third proportional to 76,026.09 and 109,512 is: 157,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,026.09 : 109,512 = 109,512 : x
  2. Step 2: Convert to fraction form
    76,026.09/109,512 = 109,512/x
  3. Step 3: Cross multiply
    76,026.09x = 109,512 × 109,512
  4. Step 4: Simplify right side
    76,026.09x = 11,992,878,144
  5. Step 5: Solve for x
    x = 11,992,878,144/76,026.09
  6. Step 6: Final answer
    x = 157,746.87

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