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Finding the Third Proportional to 134,072 and 277,423

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Solution

The third proportional to 134,072 and 277,423 is: 574,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,072 : 277,423 = 277,423 : x
  2. Step 2: Convert to fraction form
    134,072/277,423 = 277,423/x
  3. Step 3: Cross multiply
    134,072x = 277,423 × 277,423
  4. Step 4: Simplify right side
    134,072x = 76,963,520,929
  5. Step 5: Solve for x
    x = 76,963,520,929/134,072
  6. Step 6: Final answer
    x = 574,046.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.