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Finding the Third Proportional to 65,720.50 and 142,513

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Solution

The third proportional to 65,720.50 and 142,513 is: 309,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720.50 : 142,513 = 142,513 : x
  2. Step 2: Convert to fraction form
    65,720.50/142,513 = 142,513/x
  3. Step 3: Cross multiply
    65,720.50x = 142,513 × 142,513
  4. Step 4: Simplify right side
    65,720.50x = 20,309,955,169
  5. Step 5: Solve for x
    x = 20,309,955,169/65,720.50
  6. Step 6: Final answer
    x = 309,035.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.