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Finding the Third Proportional to 113,549.06 and 176,319.84

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Solution

The third proportional to 113,549.06 and 176,319.84 is: 273,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,549.06 : 176,319.84 = 176,319.84 : x
  2. Step 2: Convert to fraction form
    113,549.06/176,319.84 = 176,319.84/x
  3. Step 3: Cross multiply
    113,549.06x = 176,319.84 × 176,319.84
  4. Step 4: Simplify right side
    113,549.06x = 31,088,687,300.02
  5. Step 5: Solve for x
    x = 31,088,687,300.02/113,549.06
  6. Step 6: Final answer
    x = 273,790.79

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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.