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Finding the Third Proportional to 125,313 and 191,938

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Solution

The third proportional to 125,313 and 191,938 is: 293,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,313 : 191,938 = 191,938 : x
  2. Step 2: Convert to fraction form
    125,313/191,938 = 191,938/x
  3. Step 3: Cross multiply
    125,313x = 191,938 × 191,938
  4. Step 4: Simplify right side
    125,313x = 36,840,195,844
  5. Step 5: Solve for x
    x = 36,840,195,844/125,313
  6. Step 6: Final answer
    x = 293,985.43

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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.