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Finding the Third Proportional to 120,706 and 175,587

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Solution

The third proportional to 120,706 and 175,587 is: 255,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,706 : 175,587 = 175,587 : x
  2. Step 2: Convert to fraction form
    120,706/175,587 = 175,587/x
  3. Step 3: Cross multiply
    120,706x = 175,587 × 175,587
  4. Step 4: Simplify right side
    120,706x = 30,830,794,569
  5. Step 5: Solve for x
    x = 30,830,794,569/120,706
  6. Step 6: Final answer
    x = 255,420.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.