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Finding the Third Proportional to 118,848 and 183,424

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Solution

The third proportional to 118,848 and 183,424 is: 283,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,848 : 183,424 = 183,424 : x
  2. Step 2: Convert to fraction form
    118,848/183,424 = 183,424/x
  3. Step 3: Cross multiply
    118,848x = 183,424 × 183,424
  4. Step 4: Simplify right side
    118,848x = 33,644,363,776
  5. Step 5: Solve for x
    x = 33,644,363,776/118,848
  6. Step 6: Final answer
    x = 283,087.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.