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Finding the Third Proportional to 125,651 and 194,312

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Solution

The third proportional to 125,651 and 194,312 is: 300,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,651 : 194,312 = 194,312 : x
  2. Step 2: Convert to fraction form
    125,651/194,312 = 194,312/x
  3. Step 3: Cross multiply
    125,651x = 194,312 × 194,312
  4. Step 4: Simplify right side
    125,651x = 37,757,153,344
  5. Step 5: Solve for x
    x = 37,757,153,344/125,651
  6. Step 6: Final answer
    x = 300,492.26

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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.