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Finding the Third Proportional to 76,494.38 and 110,192.06

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Solution

The third proportional to 76,494.38 and 110,192.06 is: 158,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.38 : 110,192.06 = 110,192.06 : x
  2. Step 2: Convert to fraction form
    76,494.38/110,192.06 = 110,192.06/x
  3. Step 3: Cross multiply
    76,494.38x = 110,192.06 × 110,192.06
  4. Step 4: Simplify right side
    76,494.38x = 12,142,290,638.00
  5. Step 5: Solve for x
    x = 12,142,290,638.00/76,494.38
  6. Step 6: Final answer
    x = 158,734.43

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Why These Related Problems?

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