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Finding the Third Proportional to 119,907 and 175,972.25

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Solution

The third proportional to 119,907 and 175,972.25 is: 258,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,907 : 175,972.25 = 175,972.25 : x
  2. Step 2: Convert to fraction form
    119,907/175,972.25 = 175,972.25/x
  3. Step 3: Cross multiply
    119,907x = 175,972.25 × 175,972.25
  4. Step 4: Simplify right side
    119,907x = 30,966,232,770.06
  5. Step 5: Solve for x
    x = 30,966,232,770.06/119,907
  6. Step 6: Final answer
    x = 258,252.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.