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Finding the Third Proportional to 89,229 and 130,491

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Solution

The third proportional to 89,229 and 130,491 is: 190,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,229 : 130,491 = 130,491 : x
  2. Step 2: Convert to fraction form
    89,229/130,491 = 130,491/x
  3. Step 3: Cross multiply
    89,229x = 130,491 × 130,491
  4. Step 4: Simplify right side
    89,229x = 17,027,901,081
  5. Step 5: Solve for x
    x = 17,027,901,081/89,229
  6. Step 6: Final answer
    x = 190,833.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.