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Finding the Third Proportional to 63,477 and 139,407.75

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Solution

The third proportional to 63,477 and 139,407.75 is: 306,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,477 : 139,407.75 = 139,407.75 : x
  2. Step 2: Convert to fraction form
    63,477/139,407.75 = 139,407.75/x
  3. Step 3: Cross multiply
    63,477x = 139,407.75 × 139,407.75
  4. Step 4: Simplify right side
    63,477x = 19,434,520,760.06
  5. Step 5: Solve for x
    x = 19,434,520,760.06/63,477
  6. Step 6: Final answer
    x = 306,166.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.