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Finding the Third Proportional to 60,494.63 and 138,852.56

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Solution

The third proportional to 60,494.63 and 138,852.56 is: 318,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,494.63 : 138,852.56 = 138,852.56 : x
  2. Step 2: Convert to fraction form
    60,494.63/138,852.56 = 138,852.56/x
  3. Step 3: Cross multiply
    60,494.63x = 138,852.56 × 138,852.56
  4. Step 4: Simplify right side
    60,494.63x = 19,280,034,112.82
  5. Step 5: Solve for x
    x = 19,280,034,112.82/60,494.63
  6. Step 6: Final answer
    x = 318,706.56

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.