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Finding the Third Proportional to 73,100 and 107,054

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Solution

The third proportional to 73,100 and 107,054 is: 156,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,100 : 107,054 = 107,054 : x
  2. Step 2: Convert to fraction form
    73,100/107,054 = 107,054/x
  3. Step 3: Cross multiply
    73,100x = 107,054 × 107,054
  4. Step 4: Simplify right side
    73,100x = 11,460,558,916
  5. Step 5: Solve for x
    x = 11,460,558,916/73,100
  6. Step 6: Final answer
    x = 156,779.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.