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Finding the Third Proportional to 75,154.50 and 105,076.13

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Solution

The third proportional to 75,154.50 and 105,076.13 is: 146,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,154.50 : 105,076.13 = 105,076.13 : x
  2. Step 2: Convert to fraction form
    75,154.50/105,076.13 = 105,076.13/x
  3. Step 3: Cross multiply
    75,154.50x = 105,076.13 × 105,076.13
  4. Step 4: Simplify right side
    75,154.50x = 11,040,992,045.02
  5. Step 5: Solve for x
    x = 11,040,992,045.02/75,154.50
  6. Step 6: Final answer
    x = 146,910.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.