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Finding the Third Proportional to 111,314 and 141,043

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Solution

The third proportional to 111,314 and 141,043 is: 178,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,314 : 141,043 = 141,043 : x
  2. Step 2: Convert to fraction form
    111,314/141,043 = 141,043/x
  3. Step 3: Cross multiply
    111,314x = 141,043 × 141,043
  4. Step 4: Simplify right side
    111,314x = 19,893,127,849
  5. Step 5: Solve for x
    x = 19,893,127,849/111,314
  6. Step 6: Final answer
    x = 178,711.82

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.