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Finding the Third Proportional to 91,159.50 and 137,996.25

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Solution

The third proportional to 91,159.50 and 137,996.25 is: 208,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,159.50 : 137,996.25 = 137,996.25 : x
  2. Step 2: Convert to fraction form
    91,159.50/137,996.25 = 137,996.25/x
  3. Step 3: Cross multiply
    91,159.50x = 137,996.25 × 137,996.25
  4. Step 4: Simplify right side
    91,159.50x = 19,042,965,014.06
  5. Step 5: Solve for x
    x = 19,042,965,014.06/91,159.50
  6. Step 6: Final answer
    x = 208,897.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.