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Finding the Third Proportional to 74,546 and 119,703

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Solution

The third proportional to 74,546 and 119,703 is: 192,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,546 : 119,703 = 119,703 : x
  2. Step 2: Convert to fraction form
    74,546/119,703 = 119,703/x
  3. Step 3: Cross multiply
    74,546x = 119,703 × 119,703
  4. Step 4: Simplify right side
    74,546x = 14,328,808,209
  5. Step 5: Solve for x
    x = 14,328,808,209/74,546
  6. Step 6: Final answer
    x = 192,214.31

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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.