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Finding the Third Proportional to 65,478.75 and 142,951.88

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Solution

The third proportional to 65,478.75 and 142,951.88 is: 312,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.75 : 142,951.88 = 142,951.88 : x
  2. Step 2: Convert to fraction form
    65,478.75/142,951.88 = 142,951.88/x
  3. Step 3: Cross multiply
    65,478.75x = 142,951.88 × 142,951.88
  4. Step 4: Simplify right side
    65,478.75x = 20,435,238,566.02
  5. Step 5: Solve for x
    x = 20,435,238,566.02/65,478.75
  6. Step 6: Final answer
    x = 312,089.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.