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Finding the Third Proportional to 116,092.54 and 251,506.07

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Solution

The third proportional to 116,092.54 and 251,506.07 is: 544,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,092.54 : 251,506.07 = 251,506.07 : x
  2. Step 2: Convert to fraction form
    116,092.54/251,506.07 = 251,506.07/x
  3. Step 3: Cross multiply
    116,092.54x = 251,506.07 × 251,506.07
  4. Step 4: Simplify right side
    116,092.54x = 63,255,302,175.97
  5. Step 5: Solve for x
    x = 63,255,302,175.97/116,092.54
  6. Step 6: Final answer
    x = 544,869.66

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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.