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Finding the Third Proportional to 75,046.50 and 105,549.75

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Solution

The third proportional to 75,046.50 and 105,549.75 is: 148,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,046.50 : 105,549.75 = 105,549.75 : x
  2. Step 2: Convert to fraction form
    75,046.50/105,549.75 = 105,549.75/x
  3. Step 3: Cross multiply
    75,046.50x = 105,549.75 × 105,549.75
  4. Step 4: Simplify right side
    75,046.50x = 11,140,749,725.06
  5. Step 5: Solve for x
    x = 11,140,749,725.06/75,046.50
  6. Step 6: Final answer
    x = 148,451.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.