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Finding the Third Proportional to 119,052 and 191,412

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Solution

The third proportional to 119,052 and 191,412 is: 307,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052 : 191,412 = 191,412 : x
  2. Step 2: Convert to fraction form
    119,052/191,412 = 191,412/x
  3. Step 3: Cross multiply
    119,052x = 191,412 × 191,412
  4. Step 4: Simplify right side
    119,052x = 36,638,553,744
  5. Step 5: Solve for x
    x = 36,638,553,744/119,052
  6. Step 6: Final answer
    x = 307,752.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.