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Finding the Third Proportional to 125,201 and 191,946

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Solution

The third proportional to 125,201 and 191,946 is: 294,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,201 : 191,946 = 191,946 : x
  2. Step 2: Convert to fraction form
    125,201/191,946 = 191,946/x
  3. Step 3: Cross multiply
    125,201x = 191,946 × 191,946
  4. Step 4: Simplify right side
    125,201x = 36,843,266,916
  5. Step 5: Solve for x
    x = 36,843,266,916/125,201
  6. Step 6: Final answer
    x = 294,272.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.