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Finding the Third Proportional to 122,810.63 and 195,288.75

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Solution

The third proportional to 122,810.63 and 195,288.75 is: 310,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,810.63 : 195,288.75 = 195,288.75 : x
  2. Step 2: Convert to fraction form
    122,810.63/195,288.75 = 195,288.75/x
  3. Step 3: Cross multiply
    122,810.63x = 195,288.75 × 195,288.75
  4. Step 4: Simplify right side
    122,810.63x = 38,137,695,876.56
  5. Step 5: Solve for x
    x = 38,137,695,876.56/122,810.63
  6. Step 6: Final answer
    x = 310,540.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.