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Finding the Third Proportional to 125,069.50 and 196,514.50

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Solution

The third proportional to 125,069.50 and 196,514.50 is: 308,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,069.50 : 196,514.50 = 196,514.50 : x
  2. Step 2: Convert to fraction form
    125,069.50/196,514.50 = 196,514.50/x
  3. Step 3: Cross multiply
    125,069.50x = 196,514.50 × 196,514.50
  4. Step 4: Simplify right side
    125,069.50x = 38,617,948,710.25
  5. Step 5: Solve for x
    x = 38,617,948,710.25/125,069.50
  6. Step 6: Final answer
    x = 308,771.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.