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Finding the Third Proportional to 76,341 and 115,347

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Solution

The third proportional to 76,341 and 115,347 is: 174,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,341 : 115,347 = 115,347 : x
  2. Step 2: Convert to fraction form
    76,341/115,347 = 115,347/x
  3. Step 3: Cross multiply
    76,341x = 115,347 × 115,347
  4. Step 4: Simplify right side
    76,341x = 13,304,930,409
  5. Step 5: Solve for x
    x = 13,304,930,409/76,341
  6. Step 6: Final answer
    x = 174,282.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.