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Finding the Third Proportional to 49,232 and 105,464

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Solution

The third proportional to 49,232 and 105,464 is: 225,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,232 : 105,464 = 105,464 : x
  2. Step 2: Convert to fraction form
    49,232/105,464 = 105,464/x
  3. Step 3: Cross multiply
    49,232x = 105,464 × 105,464
  4. Step 4: Simplify right side
    49,232x = 11,122,655,296
  5. Step 5: Solve for x
    x = 11,122,655,296/49,232
  6. Step 6: Final answer
    x = 225,923.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.