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Finding the Third Proportional to 76,689 and 157,097

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Solution

The third proportional to 76,689 and 157,097 is: 321,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,689 : 157,097 = 157,097 : x
  2. Step 2: Convert to fraction form
    76,689/157,097 = 157,097/x
  3. Step 3: Cross multiply
    76,689x = 157,097 × 157,097
  4. Step 4: Simplify right side
    76,689x = 24,679,467,409
  5. Step 5: Solve for x
    x = 24,679,467,409/76,689
  6. Step 6: Final answer
    x = 321,812.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.