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Finding the Third Proportional to 73,896 and 160,432

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Solution

The third proportional to 73,896 and 160,432 is: 348,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896 : 160,432 = 160,432 : x
  2. Step 2: Convert to fraction form
    73,896/160,432 = 160,432/x
  3. Step 3: Cross multiply
    73,896x = 160,432 × 160,432
  4. Step 4: Simplify right side
    73,896x = 25,738,426,624
  5. Step 5: Solve for x
    x = 25,738,426,624/73,896
  6. Step 6: Final answer
    x = 348,306.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.