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Finding the Third Proportional to 125,964.75 and 195,031.88

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Solution

The third proportional to 125,964.75 and 195,031.88 is: 301,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,964.75 : 195,031.88 = 195,031.88 : x
  2. Step 2: Convert to fraction form
    125,964.75/195,031.88 = 195,031.88/x
  3. Step 3: Cross multiply
    125,964.75x = 195,031.88 × 195,031.88
  4. Step 4: Simplify right side
    125,964.75x = 38,037,432,266.02
  5. Step 5: Solve for x
    x = 38,037,432,266.02/125,964.75
  6. Step 6: Final answer
    x = 301,968.86

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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.