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Finding the Third Proportional to 89,033 and 138,656

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Solution

The third proportional to 89,033 and 138,656 is: 215,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,033 : 138,656 = 138,656 : x
  2. Step 2: Convert to fraction form
    89,033/138,656 = 138,656/x
  3. Step 3: Cross multiply
    89,033x = 138,656 × 138,656
  4. Step 4: Simplify right side
    89,033x = 19,225,486,336
  5. Step 5: Solve for x
    x = 19,225,486,336/89,033
  6. Step 6: Final answer
    x = 215,936.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.