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Finding the Third Proportional to 72,904.13 and 173,876.63

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Solution

The third proportional to 72,904.13 and 173,876.63 is: 414,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904.13 : 173,876.63 = 173,876.63 : x
  2. Step 2: Convert to fraction form
    72,904.13/173,876.63 = 173,876.63/x
  3. Step 3: Cross multiply
    72,904.13x = 173,876.63 × 173,876.63
  4. Step 4: Simplify right side
    72,904.13x = 30,233,080,721.39
  5. Step 5: Solve for x
    x = 30,233,080,721.39/72,904.13
  6. Step 6: Final answer
    x = 414,696.43

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.