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Finding the Third Proportional to 136,091 and 177,891.50

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Solution

The third proportional to 136,091 and 177,891.50 is: 232,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,091 : 177,891.50 = 177,891.50 : x
  2. Step 2: Convert to fraction form
    136,091/177,891.50 = 177,891.50/x
  3. Step 3: Cross multiply
    136,091x = 177,891.50 × 177,891.50
  4. Step 4: Simplify right side
    136,091x = 31,645,385,772.25
  5. Step 5: Solve for x
    x = 31,645,385,772.25/136,091
  6. Step 6: Final answer
    x = 232,531.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.