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Finding the Third Proportional to 88,178 and 126,044

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Solution

The third proportional to 88,178 and 126,044 is: 180,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,178 : 126,044 = 126,044 : x
  2. Step 2: Convert to fraction form
    88,178/126,044 = 126,044/x
  3. Step 3: Cross multiply
    88,178x = 126,044 × 126,044
  4. Step 4: Simplify right side
    88,178x = 15,887,089,936
  5. Step 5: Solve for x
    x = 15,887,089,936/88,178
  6. Step 6: Final answer
    x = 180,170.68

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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.