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Finding the Third Proportional to 88,284 and 132,623

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Solution

The third proportional to 88,284 and 132,623 is: 199,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,284 : 132,623 = 132,623 : x
  2. Step 2: Convert to fraction form
    88,284/132,623 = 132,623/x
  3. Step 3: Cross multiply
    88,284x = 132,623 × 132,623
  4. Step 4: Simplify right side
    88,284x = 17,588,860,129
  5. Step 5: Solve for x
    x = 17,588,860,129/88,284
  6. Step 6: Final answer
    x = 199,230.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.