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Finding the Third Proportional to 73,706 and 157,048

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Solution

The third proportional to 73,706 and 157,048 is: 334,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706 : 157,048 = 157,048 : x
  2. Step 2: Convert to fraction form
    73,706/157,048 = 157,048/x
  3. Step 3: Cross multiply
    73,706x = 157,048 × 157,048
  4. Step 4: Simplify right side
    73,706x = 24,664,074,304
  5. Step 5: Solve for x
    x = 24,664,074,304/73,706
  6. Step 6: Final answer
    x = 334,627.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.