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Finding the Third Proportional to 45,969 and 71,465

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Solution

The third proportional to 45,969 and 71,465 is: 111,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,969 : 71,465 = 71,465 : x
  2. Step 2: Convert to fraction form
    45,969/71,465 = 71,465/x
  3. Step 3: Cross multiply
    45,969x = 71,465 × 71,465
  4. Step 4: Simplify right side
    45,969x = 5,107,246,225
  5. Step 5: Solve for x
    x = 5,107,246,225/45,969
  6. Step 6: Final answer
    x = 111,101.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.