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Finding the Third Proportional to 115,533 and 154,535

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Solution

The third proportional to 115,533 and 154,535 is: 206,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,533 : 154,535 = 154,535 : x
  2. Step 2: Convert to fraction form
    115,533/154,535 = 154,535/x
  3. Step 3: Cross multiply
    115,533x = 154,535 × 154,535
  4. Step 4: Simplify right side
    115,533x = 23,881,066,225
  5. Step 5: Solve for x
    x = 23,881,066,225/115,533
  6. Step 6: Final answer
    x = 206,703.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.