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Finding the Third Proportional to 45,416 and 75,052

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Solution

The third proportional to 45,416 and 75,052 is: 124,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,416 : 75,052 = 75,052 : x
  2. Step 2: Convert to fraction form
    45,416/75,052 = 75,052/x
  3. Step 3: Cross multiply
    45,416x = 75,052 × 75,052
  4. Step 4: Simplify right side
    45,416x = 5,632,802,704
  5. Step 5: Solve for x
    x = 5,632,802,704/45,416
  6. Step 6: Final answer
    x = 124,026.83

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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.