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Finding the Third Proportional to 114,134.06 and 177,557.06

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Solution

The third proportional to 114,134.06 and 177,557.06 is: 276,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,134.06 : 177,557.06 = 177,557.06 : x
  2. Step 2: Convert to fraction form
    114,134.06/177,557.06 = 177,557.06/x
  3. Step 3: Cross multiply
    114,134.06x = 177,557.06 × 177,557.06
  4. Step 4: Simplify right side
    114,134.06x = 31,526,510,443.63
  5. Step 5: Solve for x
    x = 31,526,510,443.63/114,134.06
  6. Step 6: Final answer
    x = 276,223.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.