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Finding the Third Proportional to 125,016.50 and 193,631

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Solution

The third proportional to 125,016.50 and 193,631 is: 299,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,016.50 : 193,631 = 193,631 : x
  2. Step 2: Convert to fraction form
    125,016.50/193,631 = 193,631/x
  3. Step 3: Cross multiply
    125,016.50x = 193,631 × 193,631
  4. Step 4: Simplify right side
    125,016.50x = 37,492,964,161
  5. Step 5: Solve for x
    x = 37,492,964,161/125,016.50
  6. Step 6: Final answer
    x = 299,904.13

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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.