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Finding the Third Proportional to 45,507 and 67,909

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Solution

The third proportional to 45,507 and 67,909 is: 101,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,507 : 67,909 = 67,909 : x
  2. Step 2: Convert to fraction form
    45,507/67,909 = 67,909/x
  3. Step 3: Cross multiply
    45,507x = 67,909 × 67,909
  4. Step 4: Simplify right side
    45,507x = 4,611,632,281
  5. Step 5: Solve for x
    x = 4,611,632,281/45,507
  6. Step 6: Final answer
    x = 101,338.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.