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Finding the Third Proportional to 63,030 and 135,617.25

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Solution

The third proportional to 63,030 and 135,617.25 is: 291,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,030 : 135,617.25 = 135,617.25 : x
  2. Step 2: Convert to fraction form
    63,030/135,617.25 = 135,617.25/x
  3. Step 3: Cross multiply
    63,030x = 135,617.25 × 135,617.25
  4. Step 4: Simplify right side
    63,030x = 18,392,038,497.56
  5. Step 5: Solve for x
    x = 18,392,038,497.56/63,030
  6. Step 6: Final answer
    x = 291,798.17

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Why These Related Problems?

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