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Finding the Third Proportional to 71,836 and 157,048

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Solution

The third proportional to 71,836 and 157,048 is: 343,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836 : 157,048 = 157,048 : x
  2. Step 2: Convert to fraction form
    71,836/157,048 = 157,048/x
  3. Step 3: Cross multiply
    71,836x = 157,048 × 157,048
  4. Step 4: Simplify right side
    71,836x = 24,664,074,304
  5. Step 5: Solve for x
    x = 24,664,074,304/71,836
  6. Step 6: Final answer
    x = 343,338.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.