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Finding the Third Proportional to 41,557 and 90,080

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Solution

The third proportional to 41,557 and 90,080 is: 195,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,557 : 90,080 = 90,080 : x
  2. Step 2: Convert to fraction form
    41,557/90,080 = 90,080/x
  3. Step 3: Cross multiply
    41,557x = 90,080 × 90,080
  4. Step 4: Simplify right side
    41,557x = 8,114,406,400
  5. Step 5: Solve for x
    x = 8,114,406,400/41,557
  6. Step 6: Final answer
    x = 195,259.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.