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Finding the Third Proportional to 37,090 and 81,596

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Solution

The third proportional to 37,090 and 81,596 is: 179,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090 : 81,596 = 81,596 : x
  2. Step 2: Convert to fraction form
    37,090/81,596 = 81,596/x
  3. Step 3: Cross multiply
    37,090x = 81,596 × 81,596
  4. Step 4: Simplify right side
    37,090x = 6,657,907,216
  5. Step 5: Solve for x
    x = 6,657,907,216/37,090
  6. Step 6: Final answer
    x = 179,506.80

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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.