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Finding the Third Proportional to 125,260 and 193,722

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Solution

The third proportional to 125,260 and 193,722 is: 299,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,260 : 193,722 = 193,722 : x
  2. Step 2: Convert to fraction form
    125,260/193,722 = 193,722/x
  3. Step 3: Cross multiply
    125,260x = 193,722 × 193,722
  4. Step 4: Simplify right side
    125,260x = 37,528,213,284
  5. Step 5: Solve for x
    x = 37,528,213,284/125,260
  6. Step 6: Final answer
    x = 299,602.53

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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.