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Finding the Third Proportional to 113,473.13 and 150,526.69

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Solution

The third proportional to 113,473.13 and 150,526.69 is: 199,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,473.13 : 150,526.69 = 150,526.69 : x
  2. Step 2: Convert to fraction form
    113,473.13/150,526.69 = 150,526.69/x
  3. Step 3: Cross multiply
    113,473.13x = 150,526.69 × 150,526.69
  4. Step 4: Simplify right side
    113,473.13x = 22,658,283,649.72
  5. Step 5: Solve for x
    x = 22,658,283,649.72/113,473.13
  6. Step 6: Final answer
    x = 199,679.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.