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Finding the Third Proportional to 65,167.50 and 142,794

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Solution

The third proportional to 65,167.50 and 142,794 is: 312,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.50 : 142,794 = 142,794 : x
  2. Step 2: Convert to fraction form
    65,167.50/142,794 = 142,794/x
  3. Step 3: Cross multiply
    65,167.50x = 142,794 × 142,794
  4. Step 4: Simplify right side
    65,167.50x = 20,390,126,436
  5. Step 5: Solve for x
    x = 20,390,126,436/65,167.50
  6. Step 6: Final answer
    x = 312,887.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.