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Finding the Third Proportional to 45,970 and 71,466

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Solution

The third proportional to 45,970 and 71,466 is: 111,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,970 : 71,466 = 71,466 : x
  2. Step 2: Convert to fraction form
    45,970/71,466 = 71,466/x
  3. Step 3: Cross multiply
    45,970x = 71,466 × 71,466
  4. Step 4: Simplify right side
    45,970x = 5,107,389,156
  5. Step 5: Solve for x
    x = 5,107,389,156/45,970
  6. Step 6: Final answer
    x = 111,102.66

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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.