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Finding the Third Proportional to 59,112 and 127,602

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Solution

The third proportional to 59,112 and 127,602 is: 275,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,112 : 127,602 = 127,602 : x
  2. Step 2: Convert to fraction form
    59,112/127,602 = 127,602/x
  3. Step 3: Cross multiply
    59,112x = 127,602 × 127,602
  4. Step 4: Simplify right side
    59,112x = 16,282,270,404
  5. Step 5: Solve for x
    x = 16,282,270,404/59,112
  6. Step 6: Final answer
    x = 275,447.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.