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Finding the Third Proportional to 88,768 and 190,592

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Solution

The third proportional to 88,768 and 190,592 is: 409,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,768 : 190,592 = 190,592 : x
  2. Step 2: Convert to fraction form
    88,768/190,592 = 190,592/x
  3. Step 3: Cross multiply
    88,768x = 190,592 × 190,592
  4. Step 4: Simplify right side
    88,768x = 36,325,310,464
  5. Step 5: Solve for x
    x = 36,325,310,464/88,768
  6. Step 6: Final answer
    x = 409,216.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.