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Finding the Third Proportional to 75,144 and 158,670

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Solution

The third proportional to 75,144 and 158,670 is: 335,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144 : 158,670 = 158,670 : x
  2. Step 2: Convert to fraction form
    75,144/158,670 = 158,670/x
  3. Step 3: Cross multiply
    75,144x = 158,670 × 158,670
  4. Step 4: Simplify right side
    75,144x = 25,176,168,900
  5. Step 5: Solve for x
    x = 25,176,168,900/75,144
  6. Step 6: Final answer
    x = 335,038.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.