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Finding the Third Proportional to 77,580 and 167,036

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Solution

The third proportional to 77,580 and 167,036 is: 359,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580 : 167,036 = 167,036 : x
  2. Step 2: Convert to fraction form
    77,580/167,036 = 167,036/x
  3. Step 3: Cross multiply
    77,580x = 167,036 × 167,036
  4. Step 4: Simplify right side
    77,580x = 27,901,025,296
  5. Step 5: Solve for x
    x = 27,901,025,296/77,580
  6. Step 6: Final answer
    x = 359,641.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.