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Finding the Third Proportional to 37,091 and 81,553

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Solution

The third proportional to 37,091 and 81,553 is: 179,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091 : 81,553 = 81,553 : x
  2. Step 2: Convert to fraction form
    37,091/81,553 = 81,553/x
  3. Step 3: Cross multiply
    37,091x = 81,553 × 81,553
  4. Step 4: Simplify right side
    37,091x = 6,650,891,809
  5. Step 5: Solve for x
    x = 6,650,891,809/37,091
  6. Step 6: Final answer
    x = 179,312.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.