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Finding the Third Proportional to 45,828 and 97,080

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Solution

The third proportional to 45,828 and 97,080 is: 205,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,828 : 97,080 = 97,080 : x
  2. Step 2: Convert to fraction form
    45,828/97,080 = 97,080/x
  3. Step 3: Cross multiply
    45,828x = 97,080 × 97,080
  4. Step 4: Simplify right side
    45,828x = 9,424,526,400
  5. Step 5: Solve for x
    x = 9,424,526,400/45,828
  6. Step 6: Final answer
    x = 205,649.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.