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Finding the Third Proportional to 77,164 and 115,962

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Solution

The third proportional to 77,164 and 115,962 is: 174,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164 : 115,962 = 115,962 : x
  2. Step 2: Convert to fraction form
    77,164/115,962 = 115,962/x
  3. Step 3: Cross multiply
    77,164x = 115,962 × 115,962
  4. Step 4: Simplify right side
    77,164x = 13,447,185,444
  5. Step 5: Solve for x
    x = 13,447,185,444/77,164
  6. Step 6: Final answer
    x = 174,267.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.