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Finding the Third Proportional to 89,215 and 138,304

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Solution

The third proportional to 89,215 and 138,304 is: 214,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215 : 138,304 = 138,304 : x
  2. Step 2: Convert to fraction form
    89,215/138,304 = 138,304/x
  3. Step 3: Cross multiply
    89,215x = 138,304 × 138,304
  4. Step 4: Simplify right side
    89,215x = 19,127,996,416
  5. Step 5: Solve for x
    x = 19,127,996,416/89,215
  6. Step 6: Final answer
    x = 214,403.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.