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Finding the Third Proportional to 88,528 and 192,620

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Solution

The third proportional to 88,528 and 192,620 is: 419,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,528 : 192,620 = 192,620 : x
  2. Step 2: Convert to fraction form
    88,528/192,620 = 192,620/x
  3. Step 3: Cross multiply
    88,528x = 192,620 × 192,620
  4. Step 4: Simplify right side
    88,528x = 37,102,464,400
  5. Step 5: Solve for x
    x = 37,102,464,400/88,528
  6. Step 6: Final answer
    x = 419,104.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.