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Finding the Third Proportional to 122,764.50 and 191,608.50

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Solution

The third proportional to 122,764.50 and 191,608.50 is: 299,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,764.50 : 191,608.50 = 191,608.50 : x
  2. Step 2: Convert to fraction form
    122,764.50/191,608.50 = 191,608.50/x
  3. Step 3: Cross multiply
    122,764.50x = 191,608.50 × 191,608.50
  4. Step 4: Simplify right side
    122,764.50x = 36,713,817,272.25
  5. Step 5: Solve for x
    x = 36,713,817,272.25/122,764.50
  6. Step 6: Final answer
    x = 299,058.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.