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Finding the Third Proportional to 82,026.75 and 117,297.75

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Solution

The third proportional to 82,026.75 and 117,297.75 is: 167,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026.75 : 117,297.75 = 117,297.75 : x
  2. Step 2: Convert to fraction form
    82,026.75/117,297.75 = 117,297.75/x
  3. Step 3: Cross multiply
    82,026.75x = 117,297.75 × 117,297.75
  4. Step 4: Simplify right side
    82,026.75x = 13,758,762,155.06
  5. Step 5: Solve for x
    x = 13,758,762,155.06/82,026.75
  6. Step 6: Final answer
    x = 167,735.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.