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Finding the Third Proportional to 75,068 and 105,588

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Solution

The third proportional to 75,068 and 105,588 is: 148,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,068 : 105,588 = 105,588 : x
  2. Step 2: Convert to fraction form
    75,068/105,588 = 105,588/x
  3. Step 3: Cross multiply
    75,068x = 105,588 × 105,588
  4. Step 4: Simplify right side
    75,068x = 11,148,825,744
  5. Step 5: Solve for x
    x = 11,148,825,744/75,068
  6. Step 6: Final answer
    x = 148,516.36

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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.