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Finding the Third Proportional to 127,362 and 273,510

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Solution

The third proportional to 127,362 and 273,510 is: 587,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,362 : 273,510 = 273,510 : x
  2. Step 2: Convert to fraction form
    127,362/273,510 = 273,510/x
  3. Step 3: Cross multiply
    127,362x = 273,510 × 273,510
  4. Step 4: Simplify right side
    127,362x = 74,807,720,100
  5. Step 5: Solve for x
    x = 74,807,720,100/127,362
  6. Step 6: Final answer
    x = 587,362.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.