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Finding the Third Proportional to 114,129 and 164,394.56

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Solution

The third proportional to 114,129 and 164,394.56 is: 236,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,129 : 164,394.56 = 164,394.56 : x
  2. Step 2: Convert to fraction form
    114,129/164,394.56 = 164,394.56/x
  3. Step 3: Cross multiply
    114,129x = 164,394.56 × 164,394.56
  4. Step 4: Simplify right side
    114,129x = 27,025,572,179.57
  5. Step 5: Solve for x
    x = 27,025,572,179.57/114,129
  6. Step 6: Final answer
    x = 236,798.47

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.