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Finding the Third Proportional to 105,010.17 and 165,169.76

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Solution

The third proportional to 105,010.17 and 165,169.76 is: 259,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,010.17 : 165,169.76 = 165,169.76 : x
  2. Step 2: Convert to fraction form
    105,010.17/165,169.76 = 165,169.76/x
  3. Step 3: Cross multiply
    105,010.17x = 165,169.76 × 165,169.76
  4. Step 4: Simplify right side
    105,010.17x = 27,281,048,895.84
  5. Step 5: Solve for x
    x = 27,281,048,895.84/105,010.17
  6. Step 6: Final answer
    x = 259,794.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.