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Finding the Third Proportional to 133,560 and 272,068

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Solution

The third proportional to 133,560 and 272,068 is: 554,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,560 : 272,068 = 272,068 : x
  2. Step 2: Convert to fraction form
    133,560/272,068 = 272,068/x
  3. Step 3: Cross multiply
    133,560x = 272,068 × 272,068
  4. Step 4: Simplify right side
    133,560x = 74,020,996,624
  5. Step 5: Solve for x
    x = 74,020,996,624/133,560
  6. Step 6: Final answer
    x = 554,215.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.