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Finding the Third Proportional to 119,356 and 161,526

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Solution

The third proportional to 119,356 and 161,526 is: 218,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,356 : 161,526 = 161,526 : x
  2. Step 2: Convert to fraction form
    119,356/161,526 = 161,526/x
  3. Step 3: Cross multiply
    119,356x = 161,526 × 161,526
  4. Step 4: Simplify right side
    119,356x = 26,090,648,676
  5. Step 5: Solve for x
    x = 26,090,648,676/119,356
  6. Step 6: Final answer
    x = 218,595.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.