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Finding the Third Proportional to 65,071.50 and 141,684

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Solution

The third proportional to 65,071.50 and 141,684 is: 308,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,071.50 : 141,684 = 141,684 : x
  2. Step 2: Convert to fraction form
    65,071.50/141,684 = 141,684/x
  3. Step 3: Cross multiply
    65,071.50x = 141,684 × 141,684
  4. Step 4: Simplify right side
    65,071.50x = 20,074,355,856
  5. Step 5: Solve for x
    x = 20,074,355,856/65,071.50
  6. Step 6: Final answer
    x = 308,496.90

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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.