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Finding the Third Proportional to 62,804 and 87,848

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Solution

The third proportional to 62,804 and 87,848 is: 122,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,804 : 87,848 = 87,848 : x
  2. Step 2: Convert to fraction form
    62,804/87,848 = 87,848/x
  3. Step 3: Cross multiply
    62,804x = 87,848 × 87,848
  4. Step 4: Simplify right side
    62,804x = 7,717,271,104
  5. Step 5: Solve for x
    x = 7,717,271,104/62,804
  6. Step 6: Final answer
    x = 122,878.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.