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Finding the Third Proportional to 88,065 and 190,494

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Solution

The third proportional to 88,065 and 190,494 is: 412,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,065 : 190,494 = 190,494 : x
  2. Step 2: Convert to fraction form
    88,065/190,494 = 190,494/x
  3. Step 3: Cross multiply
    88,065x = 190,494 × 190,494
  4. Step 4: Simplify right side
    88,065x = 36,287,964,036
  5. Step 5: Solve for x
    x = 36,287,964,036/88,065
  6. Step 6: Final answer
    x = 412,058.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.