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Finding the Third Proportional to 75,293.50 and 100,377.75

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Solution

The third proportional to 75,293.50 and 100,377.75 is: 133,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,293.50 : 100,377.75 = 100,377.75 : x
  2. Step 2: Convert to fraction form
    75,293.50/100,377.75 = 100,377.75/x
  3. Step 3: Cross multiply
    75,293.50x = 100,377.75 × 100,377.75
  4. Step 4: Simplify right side
    75,293.50x = 10,075,692,695.06
  5. Step 5: Solve for x
    x = 10,075,692,695.06/75,293.50
  6. Step 6: Final answer
    x = 133,818.89

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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.