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Finding the Third Proportional to 75,563 and 113,357

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Solution

The third proportional to 75,563 and 113,357 is: 170,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,563 : 113,357 = 113,357 : x
  2. Step 2: Convert to fraction form
    75,563/113,357 = 113,357/x
  3. Step 3: Cross multiply
    75,563x = 113,357 × 113,357
  4. Step 4: Simplify right side
    75,563x = 12,849,809,449
  5. Step 5: Solve for x
    x = 12,849,809,449/75,563
  6. Step 6: Final answer
    x = 170,054.25

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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.