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Finding the Third Proportional to 105,894 and 165,093.19

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Solution

The third proportional to 105,894 and 165,093.19 is: 257,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894 : 165,093.19 = 165,093.19 : x
  2. Step 2: Convert to fraction form
    105,894/165,093.19 = 165,093.19/x
  3. Step 3: Cross multiply
    105,894x = 165,093.19 × 165,093.19
  4. Step 4: Simplify right side
    105,894x = 27,255,760,558.91
  5. Step 5: Solve for x
    x = 27,255,760,558.91/105,894
  6. Step 6: Final answer
    x = 257,387.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.