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Finding the Third Proportional to 83,763 and 176,841

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Solution

The third proportional to 83,763 and 176,841 is: 373,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,763 : 176,841 = 176,841 : x
  2. Step 2: Convert to fraction form
    83,763/176,841 = 176,841/x
  3. Step 3: Cross multiply
    83,763x = 176,841 × 176,841
  4. Step 4: Simplify right side
    83,763x = 31,272,739,281
  5. Step 5: Solve for x
    x = 31,272,739,281/83,763
  6. Step 6: Final answer
    x = 373,347.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.