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Finding the Third Proportional to 75,296.25 and 116,653.50

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Solution

The third proportional to 75,296.25 and 116,653.50 is: 180,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.25 : 116,653.50 = 116,653.50 : x
  2. Step 2: Convert to fraction form
    75,296.25/116,653.50 = 116,653.50/x
  3. Step 3: Cross multiply
    75,296.25x = 116,653.50 × 116,653.50
  4. Step 4: Simplify right side
    75,296.25x = 13,608,039,062.25
  5. Step 5: Solve for x
    x = 13,608,039,062.25/75,296.25
  6. Step 6: Final answer
    x = 180,726.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.