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Finding the Third Proportional to 106,464 and 165,516

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Solution

The third proportional to 106,464 and 165,516 is: 257,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464 : 165,516 = 165,516 : x
  2. Step 2: Convert to fraction form
    106,464/165,516 = 165,516/x
  3. Step 3: Cross multiply
    106,464x = 165,516 × 165,516
  4. Step 4: Simplify right side
    106,464x = 27,395,546,256
  5. Step 5: Solve for x
    x = 27,395,546,256/106,464
  6. Step 6: Final answer
    x = 257,322.16

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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.