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Finding the Third Proportional to 128,961 and 199,273.50

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Solution

The third proportional to 128,961 and 199,273.50 is: 307,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,961 : 199,273.50 = 199,273.50 : x
  2. Step 2: Convert to fraction form
    128,961/199,273.50 = 199,273.50/x
  3. Step 3: Cross multiply
    128,961x = 199,273.50 × 199,273.50
  4. Step 4: Simplify right side
    128,961x = 39,709,927,802.25
  5. Step 5: Solve for x
    x = 39,709,927,802.25/128,961
  6. Step 6: Final answer
    x = 307,921.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.