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Finding the Third Proportional to 128,388 and 187,828

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Solution

The third proportional to 128,388 and 187,828 is: 274,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,388 : 187,828 = 187,828 : x
  2. Step 2: Convert to fraction form
    128,388/187,828 = 187,828/x
  3. Step 3: Cross multiply
    128,388x = 187,828 × 187,828
  4. Step 4: Simplify right side
    128,388x = 35,279,357,584
  5. Step 5: Solve for x
    x = 35,279,357,584/128,388
  6. Step 6: Final answer
    x = 274,787.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.