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Finding the Third Proportional to 119,254 and 161,938

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Solution

The third proportional to 119,254 and 161,938 is: 219,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,254 : 161,938 = 161,938 : x
  2. Step 2: Convert to fraction form
    119,254/161,938 = 161,938/x
  3. Step 3: Cross multiply
    119,254x = 161,938 × 161,938
  4. Step 4: Simplify right side
    119,254x = 26,223,915,844
  5. Step 5: Solve for x
    x = 26,223,915,844/119,254
  6. Step 6: Final answer
    x = 219,899.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.