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Finding the Third Proportional to 113,313.94 and 176,258.53

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Solution

The third proportional to 113,313.94 and 176,258.53 is: 274,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,313.94 : 176,258.53 = 176,258.53 : x
  2. Step 2: Convert to fraction form
    113,313.94/176,258.53 = 176,258.53/x
  3. Step 3: Cross multiply
    113,313.94x = 176,258.53 × 176,258.53
  4. Step 4: Simplify right side
    113,313.94x = 31,067,069,838.41
  5. Step 5: Solve for x
    x = 31,067,069,838.41/113,313.94
  6. Step 6: Final answer
    x = 274,168.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.