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Finding the Third Proportional to 118,944 and 173,950.50

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Solution

The third proportional to 118,944 and 173,950.50 is: 254,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,944 : 173,950.50 = 173,950.50 : x
  2. Step 2: Convert to fraction form
    118,944/173,950.50 = 173,950.50/x
  3. Step 3: Cross multiply
    118,944x = 173,950.50 × 173,950.50
  4. Step 4: Simplify right side
    118,944x = 30,258,776,450.25
  5. Step 5: Solve for x
    x = 30,258,776,450.25/118,944
  6. Step 6: Final answer
    x = 254,395.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.