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Finding the Third Proportional to 75,604 and 165,752

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Solution

The third proportional to 75,604 and 165,752 is: 363,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,604 : 165,752 = 165,752 : x
  2. Step 2: Convert to fraction form
    75,604/165,752 = 165,752/x
  3. Step 3: Cross multiply
    75,604x = 165,752 × 165,752
  4. Step 4: Simplify right side
    75,604x = 27,473,725,504
  5. Step 5: Solve for x
    x = 27,473,725,504/75,604
  6. Step 6: Final answer
    x = 363,389.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.