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Finding the Third Proportional to 106,200 and 165,752

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Solution

The third proportional to 106,200 and 165,752 is: 258,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,200 : 165,752 = 165,752 : x
  2. Step 2: Convert to fraction form
    106,200/165,752 = 165,752/x
  3. Step 3: Cross multiply
    106,200x = 165,752 × 165,752
  4. Step 4: Simplify right side
    106,200x = 27,473,725,504
  5. Step 5: Solve for x
    x = 27,473,725,504/106,200
  6. Step 6: Final answer
    x = 258,697.98

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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.