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Finding the Third Proportional to 48,237 and 114,015.75

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Solution

The third proportional to 48,237 and 114,015.75 is: 269,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,237 : 114,015.75 = 114,015.75 : x
  2. Step 2: Convert to fraction form
    48,237/114,015.75 = 114,015.75/x
  3. Step 3: Cross multiply
    48,237x = 114,015.75 × 114,015.75
  4. Step 4: Simplify right side
    48,237x = 12,999,591,248.06
  5. Step 5: Solve for x
    x = 12,999,591,248.06/48,237
  6. Step 6: Final answer
    x = 269,494.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.