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Finding the Third Proportional to 75,030.75 and 105,523.88

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Solution

The third proportional to 75,030.75 and 105,523.88 is: 148,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030.75 : 105,523.88 = 105,523.88 : x
  2. Step 2: Convert to fraction form
    75,030.75/105,523.88 = 105,523.88/x
  3. Step 3: Cross multiply
    75,030.75x = 105,523.88 × 105,523.88
  4. Step 4: Simplify right side
    75,030.75x = 11,135,288,195.02
  5. Step 5: Solve for x
    x = 11,135,288,195.02/75,030.75
  6. Step 6: Final answer
    x = 148,409.66

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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.