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Finding the Third Proportional to 75,461 and 102,119

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Solution

The third proportional to 75,461 and 102,119 is: 138,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461 : 102,119 = 102,119 : x
  2. Step 2: Convert to fraction form
    75,461/102,119 = 102,119/x
  3. Step 3: Cross multiply
    75,461x = 102,119 × 102,119
  4. Step 4: Simplify right side
    75,461x = 10,428,290,161
  5. Step 5: Solve for x
    x = 10,428,290,161/75,461
  6. Step 6: Final answer
    x = 138,194.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.