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Finding the Third Proportional to 89,291 and 138,347

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Solution

The third proportional to 89,291 and 138,347 is: 214,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,291 : 138,347 = 138,347 : x
  2. Step 2: Convert to fraction form
    89,291/138,347 = 138,347/x
  3. Step 3: Cross multiply
    89,291x = 138,347 × 138,347
  4. Step 4: Simplify right side
    89,291x = 19,139,892,409
  5. Step 5: Solve for x
    x = 19,139,892,409/89,291
  6. Step 6: Final answer
    x = 214,354.11

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