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Finding the Third Proportional to 75,226.50 and 105,159

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Solution

The third proportional to 75,226.50 and 105,159 is: 147,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,226.50 : 105,159 = 105,159 : x
  2. Step 2: Convert to fraction form
    75,226.50/105,159 = 105,159/x
  3. Step 3: Cross multiply
    75,226.50x = 105,159 × 105,159
  4. Step 4: Simplify right side
    75,226.50x = 11,058,415,281
  5. Step 5: Solve for x
    x = 11,058,415,281/75,226.50
  6. Step 6: Final answer
    x = 147,001.59

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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.