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Finding the Third Proportional to 63,030 and 135,619

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Solution

The third proportional to 63,030 and 135,619 is: 291,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,030 : 135,619 = 135,619 : x
  2. Step 2: Convert to fraction form
    63,030/135,619 = 135,619/x
  3. Step 3: Cross multiply
    63,030x = 135,619 × 135,619
  4. Step 4: Simplify right side
    63,030x = 18,392,513,161
  5. Step 5: Solve for x
    x = 18,392,513,161/63,030
  6. Step 6: Final answer
    x = 291,805.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.