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Finding the Third Proportional to 37,273.50 and 78,718.50

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Solution

The third proportional to 37,273.50 and 78,718.50 is: 166,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,273.50 : 78,718.50 = 78,718.50 : x
  2. Step 2: Convert to fraction form
    37,273.50/78,718.50 = 78,718.50/x
  3. Step 3: Cross multiply
    37,273.50x = 78,718.50 × 78,718.50
  4. Step 4: Simplify right side
    37,273.50x = 6,196,602,242.25
  5. Step 5: Solve for x
    x = 6,196,602,242.25/37,273.50
  6. Step 6: Final answer
    x = 166,246.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.