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Finding the Third Proportional to 136,498.50 and 209,094.75

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Solution

The third proportional to 136,498.50 and 209,094.75 is: 320,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,498.50 : 209,094.75 = 209,094.75 : x
  2. Step 2: Convert to fraction form
    136,498.50/209,094.75 = 209,094.75/x
  3. Step 3: Cross multiply
    136,498.50x = 209,094.75 × 209,094.75
  4. Step 4: Simplify right side
    136,498.50x = 43,720,614,477.56
  5. Step 5: Solve for x
    x = 43,720,614,477.56/136,498.50
  6. Step 6: Final answer
    x = 320,301.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.