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Finding the Third Proportional to 59,124 and 124,908

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Solution

The third proportional to 59,124 and 124,908 is: 263,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,124 : 124,908 = 124,908 : x
  2. Step 2: Convert to fraction form
    59,124/124,908 = 124,908/x
  3. Step 3: Cross multiply
    59,124x = 124,908 × 124,908
  4. Step 4: Simplify right side
    59,124x = 15,602,008,464
  5. Step 5: Solve for x
    x = 15,602,008,464/59,124
  6. Step 6: Final answer
    x = 263,886.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.