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Finding the Third Proportional to 89,010 and 138,438

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Solution

The third proportional to 89,010 and 138,438 is: 215,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,010 : 138,438 = 138,438 : x
  2. Step 2: Convert to fraction form
    89,010/138,438 = 138,438/x
  3. Step 3: Cross multiply
    89,010x = 138,438 × 138,438
  4. Step 4: Simplify right side
    89,010x = 19,165,079,844
  5. Step 5: Solve for x
    x = 19,165,079,844/89,010
  6. Step 6: Final answer
    x = 215,313.78

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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.