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Finding the Third Proportional to 107,010 and 165,925

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Solution

The third proportional to 107,010 and 165,925 is: 257,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,010 : 165,925 = 165,925 : x
  2. Step 2: Convert to fraction form
    107,010/165,925 = 165,925/x
  3. Step 3: Cross multiply
    107,010x = 165,925 × 165,925
  4. Step 4: Simplify right side
    107,010x = 27,531,105,625
  5. Step 5: Solve for x
    x = 27,531,105,625/107,010
  6. Step 6: Final answer
    x = 257,276.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.