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Finding the Third Proportional to 75,709.50 and 159,261

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Solution

The third proportional to 75,709.50 and 159,261 is: 335,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.50 : 159,261 = 159,261 : x
  2. Step 2: Convert to fraction form
    75,709.50/159,261 = 159,261/x
  3. Step 3: Cross multiply
    75,709.50x = 159,261 × 159,261
  4. Step 4: Simplify right side
    75,709.50x = 25,364,066,121
  5. Step 5: Solve for x
    x = 25,364,066,121/75,709.50
  6. Step 6: Final answer
    x = 335,018.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.