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Finding the Third Proportional to 75,774.23 and 110,329.59

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Solution

The third proportional to 75,774.23 and 110,329.59 is: 160,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774.23 : 110,329.59 = 110,329.59 : x
  2. Step 2: Convert to fraction form
    75,774.23/110,329.59 = 110,329.59/x
  3. Step 3: Cross multiply
    75,774.23x = 110,329.59 × 110,329.59
  4. Step 4: Simplify right side
    75,774.23x = 12,172,619,257.04
  5. Step 5: Solve for x
    x = 12,172,619,257.04/75,774.23
  6. Step 6: Final answer
    x = 160,643.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.