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Finding the Third Proportional to 63,462.75 and 138,312.75

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Solution

The third proportional to 63,462.75 and 138,312.75 is: 301,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,462.75 : 138,312.75 = 138,312.75 : x
  2. Step 2: Convert to fraction form
    63,462.75/138,312.75 = 138,312.75/x
  3. Step 3: Cross multiply
    63,462.75x = 138,312.75 × 138,312.75
  4. Step 4: Simplify right side
    63,462.75x = 19,130,416,812.56
  5. Step 5: Solve for x
    x = 19,130,416,812.56/63,462.75
  6. Step 6: Final answer
    x = 301,443.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.