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Finding the Third Proportional to 71,734.50 and 146,637

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Solution

The third proportional to 71,734.50 and 146,637 is: 299,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734.50 : 146,637 = 146,637 : x
  2. Step 2: Convert to fraction form
    71,734.50/146,637 = 146,637/x
  3. Step 3: Cross multiply
    71,734.50x = 146,637 × 146,637
  4. Step 4: Simplify right side
    71,734.50x = 21,502,409,769
  5. Step 5: Solve for x
    x = 21,502,409,769/71,734.50
  6. Step 6: Final answer
    x = 299,749.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.