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Finding the Third Proportional to 119,102 and 189,588

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Solution

The third proportional to 119,102 and 189,588 is: 301,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,102 : 189,588 = 189,588 : x
  2. Step 2: Convert to fraction form
    119,102/189,588 = 189,588/x
  3. Step 3: Cross multiply
    119,102x = 189,588 × 189,588
  4. Step 4: Simplify right side
    119,102x = 35,943,609,744
  5. Step 5: Solve for x
    x = 35,943,609,744/119,102
  6. Step 6: Final answer
    x = 301,788.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.