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Finding the Third Proportional to 133,084 and 182,346

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Solution

The third proportional to 133,084 and 182,346 is: 249,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 182,346 = 182,346 : x
  2. Step 2: Convert to fraction form
    133,084/182,346 = 182,346/x
  3. Step 3: Cross multiply
    133,084x = 182,346 × 182,346
  4. Step 4: Simplify right side
    133,084x = 33,250,063,716
  5. Step 5: Solve for x
    x = 33,250,063,716/133,084
  6. Step 6: Final answer
    x = 249,842.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.