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Finding the Third Proportional to 125,532 and 175,980

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Solution

The third proportional to 125,532 and 175,980 is: 246,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,532 : 175,980 = 175,980 : x
  2. Step 2: Convert to fraction form
    125,532/175,980 = 175,980/x
  3. Step 3: Cross multiply
    125,532x = 175,980 × 175,980
  4. Step 4: Simplify right side
    125,532x = 30,968,960,400
  5. Step 5: Solve for x
    x = 30,968,960,400/125,532
  6. Step 6: Final answer
    x = 246,701.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.