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Finding the Third Proportional to 116,979 and 166,720.50

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Solution

The third proportional to 116,979 and 166,720.50 is: 237,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,979 : 166,720.50 = 166,720.50 : x
  2. Step 2: Convert to fraction form
    116,979/166,720.50 = 166,720.50/x
  3. Step 3: Cross multiply
    116,979x = 166,720.50 × 166,720.50
  4. Step 4: Simplify right side
    116,979x = 27,795,725,120.25
  5. Step 5: Solve for x
    x = 27,795,725,120.25/116,979
  6. Step 6: Final answer
    x = 237,612.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.