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Finding the Third Proportional to 89,736 and 138,348

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Solution

The third proportional to 89,736 and 138,348 is: 213,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,736 : 138,348 = 138,348 : x
  2. Step 2: Convert to fraction form
    89,736/138,348 = 138,348/x
  3. Step 3: Cross multiply
    89,736x = 138,348 × 138,348
  4. Step 4: Simplify right side
    89,736x = 19,140,169,104
  5. Step 5: Solve for x
    x = 19,140,169,104/89,736
  6. Step 6: Final answer
    x = 213,294.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.