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Finding the Third Proportional to 113,914.13 and 176,838.75

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Solution

The third proportional to 113,914.13 and 176,838.75 is: 274,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,914.13 : 176,838.75 = 176,838.75 : x
  2. Step 2: Convert to fraction form
    113,914.13/176,838.75 = 176,838.75/x
  3. Step 3: Cross multiply
    113,914.13x = 176,838.75 × 176,838.75
  4. Step 4: Simplify right side
    113,914.13x = 31,271,943,501.56
  5. Step 5: Solve for x
    x = 31,271,943,501.56/113,914.13
  6. Step 6: Final answer
    x = 274,522.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.