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Finding the Third Proportional to 136,623 and 209,080.50

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Solution

The third proportional to 136,623 and 209,080.50 is: 319,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,623 : 209,080.50 = 209,080.50 : x
  2. Step 2: Convert to fraction form
    136,623/209,080.50 = 209,080.50/x
  3. Step 3: Cross multiply
    136,623x = 209,080.50 × 209,080.50
  4. Step 4: Simplify right side
    136,623x = 43,714,655,480.25
  5. Step 5: Solve for x
    x = 43,714,655,480.25/136,623
  6. Step 6: Final answer
    x = 319,965.57

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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.