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Finding the Third Proportional to 113,698.13 and 176,541.19

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Solution

The third proportional to 113,698.13 and 176,541.19 is: 274,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,698.13 : 176,541.19 = 176,541.19 : x
  2. Step 2: Convert to fraction form
    113,698.13/176,541.19 = 176,541.19/x
  3. Step 3: Cross multiply
    113,698.13x = 176,541.19 × 176,541.19
  4. Step 4: Simplify right side
    113,698.13x = 31,166,790,883.91
  5. Step 5: Solve for x
    x = 31,166,790,883.91/113,698.13
  6. Step 6: Final answer
    x = 274,118.78

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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.