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Finding the Third Proportional to 125,986.50 and 195,095.25

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Solution

The third proportional to 125,986.50 and 195,095.25 is: 302,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,986.50 : 195,095.25 = 195,095.25 : x
  2. Step 2: Convert to fraction form
    125,986.50/195,095.25 = 195,095.25/x
  3. Step 3: Cross multiply
    125,986.50x = 195,095.25 × 195,095.25
  4. Step 4: Simplify right side
    125,986.50x = 38,062,156,572.56
  5. Step 5: Solve for x
    x = 38,062,156,572.56/125,986.50
  6. Step 6: Final answer
    x = 302,112.98

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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.