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Finding the Third Proportional to 113,066 and 175,823.50

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Solution

The third proportional to 113,066 and 175,823.50 is: 273,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,066 : 175,823.50 = 175,823.50 : x
  2. Step 2: Convert to fraction form
    113,066/175,823.50 = 175,823.50/x
  3. Step 3: Cross multiply
    113,066x = 175,823.50 × 175,823.50
  4. Step 4: Simplify right side
    113,066x = 30,913,903,152.25
  5. Step 5: Solve for x
    x = 30,913,903,152.25/113,066
  6. Step 6: Final answer
    x = 273,414.67

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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.