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Finding the Third Proportional to 105,564 and 165,258

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Solution

The third proportional to 105,564 and 165,258 is: 258,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,564 : 165,258 = 165,258 : x
  2. Step 2: Convert to fraction form
    105,564/165,258 = 165,258/x
  3. Step 3: Cross multiply
    105,564x = 165,258 × 165,258
  4. Step 4: Simplify right side
    105,564x = 27,310,206,564
  5. Step 5: Solve for x
    x = 27,310,206,564/105,564
  6. Step 6: Final answer
    x = 258,707.58

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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.