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Finding the Third Proportional to 75,428.06 and 103,902.84

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Solution

The third proportional to 75,428.06 and 103,902.84 is: 143,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,428.06 : 103,902.84 = 103,902.84 : x
  2. Step 2: Convert to fraction form
    75,428.06/103,902.84 = 103,902.84/x
  3. Step 3: Cross multiply
    75,428.06x = 103,902.84 × 103,902.84
  4. Step 4: Simplify right side
    75,428.06x = 10,795,800,939.34
  5. Step 5: Solve for x
    x = 10,795,800,939.34/75,428.06
  6. Step 6: Final answer
    x = 143,127.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.