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Finding the Third Proportional to 74,728 and 159,332

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Solution

The third proportional to 74,728 and 159,332 is: 339,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,728 : 159,332 = 159,332 : x
  2. Step 2: Convert to fraction form
    74,728/159,332 = 159,332/x
  3. Step 3: Cross multiply
    74,728x = 159,332 × 159,332
  4. Step 4: Simplify right side
    74,728x = 25,386,686,224
  5. Step 5: Solve for x
    x = 25,386,686,224/74,728
  6. Step 6: Final answer
    x = 339,721.21

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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.