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Finding the Third Proportional to 78,060.75 and 161,659.50

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Solution

The third proportional to 78,060.75 and 161,659.50 is: 334,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,060.75 : 161,659.50 = 161,659.50 : x
  2. Step 2: Convert to fraction form
    78,060.75/161,659.50 = 161,659.50/x
  3. Step 3: Cross multiply
    78,060.75x = 161,659.50 × 161,659.50
  4. Step 4: Simplify right side
    78,060.75x = 26,133,793,940.25
  5. Step 5: Solve for x
    x = 26,133,793,940.25/78,060.75
  6. Step 6: Final answer
    x = 334,787.89

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.