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Finding the Third Proportional to 124,576 and 188,160

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Solution

The third proportional to 124,576 and 188,160 is: 284,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,576 : 188,160 = 188,160 : x
  2. Step 2: Convert to fraction form
    124,576/188,160 = 188,160/x
  3. Step 3: Cross multiply
    124,576x = 188,160 × 188,160
  4. Step 4: Simplify right side
    124,576x = 35,404,185,600
  5. Step 5: Solve for x
    x = 35,404,185,600/124,576
  6. Step 6: Final answer
    x = 284,197.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.