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Finding the Third Proportional to 58,869 and 127,527

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Solution

The third proportional to 58,869 and 127,527 is: 276,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,869 : 127,527 = 127,527 : x
  2. Step 2: Convert to fraction form
    58,869/127,527 = 127,527/x
  3. Step 3: Cross multiply
    58,869x = 127,527 × 127,527
  4. Step 4: Simplify right side
    58,869x = 16,263,135,729
  5. Step 5: Solve for x
    x = 16,263,135,729/58,869
  6. Step 6: Final answer
    x = 276,259.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.