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Finding the Third Proportional to 45,407 and 75,041

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Solution

The third proportional to 45,407 and 75,041 is: 124,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,407 : 75,041 = 75,041 : x
  2. Step 2: Convert to fraction form
    45,407/75,041 = 75,041/x
  3. Step 3: Cross multiply
    45,407x = 75,041 × 75,041
  4. Step 4: Simplify right side
    45,407x = 5,631,151,681
  5. Step 5: Solve for x
    x = 5,631,151,681/45,407
  6. Step 6: Final answer
    x = 124,015.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.