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Finding the Third Proportional to 106,952 and 165,532

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Solution

The third proportional to 106,952 and 165,532 is: 256,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952 : 165,532 = 165,532 : x
  2. Step 2: Convert to fraction form
    106,952/165,532 = 165,532/x
  3. Step 3: Cross multiply
    106,952x = 165,532 × 165,532
  4. Step 4: Simplify right side
    106,952x = 27,400,843,024
  5. Step 5: Solve for x
    x = 27,400,843,024/106,952
  6. Step 6: Final answer
    x = 256,197.57

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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.