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Finding the Third Proportional to 116,931 and 171,019.50

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Solution

The third proportional to 116,931 and 171,019.50 is: 250,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,931 : 171,019.50 = 171,019.50 : x
  2. Step 2: Convert to fraction form
    116,931/171,019.50 = 171,019.50/x
  3. Step 3: Cross multiply
    116,931x = 171,019.50 × 171,019.50
  4. Step 4: Simplify right side
    116,931x = 29,247,669,380.25
  5. Step 5: Solve for x
    x = 29,247,669,380.25/116,931
  6. Step 6: Final answer
    x = 250,127.59

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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.