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Finding the Third Proportional to 125,984 and 189,546

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Solution

The third proportional to 125,984 and 189,546 is: 285,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,984 : 189,546 = 189,546 : x
  2. Step 2: Convert to fraction form
    125,984/189,546 = 189,546/x
  3. Step 3: Cross multiply
    125,984x = 189,546 × 189,546
  4. Step 4: Simplify right side
    125,984x = 35,927,686,116
  5. Step 5: Solve for x
    x = 35,927,686,116/125,984
  6. Step 6: Final answer
    x = 285,176.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.