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Finding the Third Proportional to 131,929.88 and 204,548.06

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Solution

The third proportional to 131,929.88 and 204,548.06 is: 317,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,929.88 : 204,548.06 = 204,548.06 : x
  2. Step 2: Convert to fraction form
    131,929.88/204,548.06 = 204,548.06/x
  3. Step 3: Cross multiply
    131,929.88x = 204,548.06 × 204,548.06
  4. Step 4: Simplify right side
    131,929.88x = 41,839,909,872.50
  5. Step 5: Solve for x
    x = 41,839,909,872.50/131,929.88
  6. Step 6: Final answer
    x = 317,137.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.