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Finding the Third Proportional to 119,364 and 182,502

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Solution

The third proportional to 119,364 and 182,502 is: 279,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,364 : 182,502 = 182,502 : x
  2. Step 2: Convert to fraction form
    119,364/182,502 = 182,502/x
  3. Step 3: Cross multiply
    119,364x = 182,502 × 182,502
  4. Step 4: Simplify right side
    119,364x = 33,306,980,004
  5. Step 5: Solve for x
    x = 33,306,980,004/119,364
  6. Step 6: Final answer
    x = 279,037.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.