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Finding the Third Proportional to 65,171.25 and 142,803

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Solution

The third proportional to 65,171.25 and 142,803 is: 312,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171.25 : 142,803 = 142,803 : x
  2. Step 2: Convert to fraction form
    65,171.25/142,803 = 142,803/x
  3. Step 3: Cross multiply
    65,171.25x = 142,803 × 142,803
  4. Step 4: Simplify right side
    65,171.25x = 20,392,696,809
  5. Step 5: Solve for x
    x = 20,392,696,809/65,171.25
  6. Step 6: Final answer
    x = 312,909.40

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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.