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Finding the Third Proportional to 75,762 and 113,643

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Solution

The third proportional to 75,762 and 113,643 is: 170,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762 : 113,643 = 113,643 : x
  2. Step 2: Convert to fraction form
    75,762/113,643 = 113,643/x
  3. Step 3: Cross multiply
    75,762x = 113,643 × 113,643
  4. Step 4: Simplify right side
    75,762x = 12,914,731,449
  5. Step 5: Solve for x
    x = 12,914,731,449/75,762
  6. Step 6: Final answer
    x = 170,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.