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Finding the Third Proportional to 135,966.75 and 291,615.75

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Solution

The third proportional to 135,966.75 and 291,615.75 is: 625,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,966.75 : 291,615.75 = 291,615.75 : x
  2. Step 2: Convert to fraction form
    135,966.75/291,615.75 = 291,615.75/x
  3. Step 3: Cross multiply
    135,966.75x = 291,615.75 × 291,615.75
  4. Step 4: Simplify right side
    135,966.75x = 85,039,745,648.06
  5. Step 5: Solve for x
    x = 85,039,745,648.06/135,966.75
  6. Step 6: Final answer
    x = 625,445.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.