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Finding the Third Proportional to 75,606.75 and 160,164

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Solution

The third proportional to 75,606.75 and 160,164 is: 339,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,606.75 : 160,164 = 160,164 : x
  2. Step 2: Convert to fraction form
    75,606.75/160,164 = 160,164/x
  3. Step 3: Cross multiply
    75,606.75x = 160,164 × 160,164
  4. Step 4: Simplify right side
    75,606.75x = 25,652,506,896
  5. Step 5: Solve for x
    x = 25,652,506,896/75,606.75
  6. Step 6: Final answer
    x = 339,288.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.