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Finding the Third Proportional to 48,232 and 104,513

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Solution

The third proportional to 48,232 and 104,513 is: 226,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,232 : 104,513 = 104,513 : x
  2. Step 2: Convert to fraction form
    48,232/104,513 = 104,513/x
  3. Step 3: Cross multiply
    48,232x = 104,513 × 104,513
  4. Step 4: Simplify right side
    48,232x = 10,922,967,169
  5. Step 5: Solve for x
    x = 10,922,967,169/48,232
  6. Step 6: Final answer
    x = 226,467.22

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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.