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Finding the Third Proportional to 61,104 and 87,176

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Solution

The third proportional to 61,104 and 87,176 is: 124,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,104 : 87,176 = 87,176 : x
  2. Step 2: Convert to fraction form
    61,104/87,176 = 87,176/x
  3. Step 3: Cross multiply
    61,104x = 87,176 × 87,176
  4. Step 4: Simplify right side
    61,104x = 7,599,654,976
  5. Step 5: Solve for x
    x = 7,599,654,976/61,104
  6. Step 6: Final answer
    x = 124,372.46

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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.