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Finding the Third Proportional to 137,596 and 281,023

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Solution

The third proportional to 137,596 and 281,023 is: 573,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,596 : 281,023 = 281,023 : x
  2. Step 2: Convert to fraction form
    137,596/281,023 = 281,023/x
  3. Step 3: Cross multiply
    137,596x = 281,023 × 281,023
  4. Step 4: Simplify right side
    137,596x = 78,973,926,529
  5. Step 5: Solve for x
    x = 78,973,926,529/137,596
  6. Step 6: Final answer
    x = 573,955.10

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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.