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Finding the Third Proportional to 78,094.13 and 171,092.25

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Solution

The third proportional to 78,094.13 and 171,092.25 is: 374,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,094.13 : 171,092.25 = 171,092.25 : x
  2. Step 2: Convert to fraction form
    78,094.13/171,092.25 = 171,092.25/x
  3. Step 3: Cross multiply
    78,094.13x = 171,092.25 × 171,092.25
  4. Step 4: Simplify right side
    78,094.13x = 29,272,558,010.06
  5. Step 5: Solve for x
    x = 29,272,558,010.06/78,094.13
  6. Step 6: Final answer
    x = 374,836.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.