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Finding the Third Proportional to 63,258 and 132,361.50

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Solution

The third proportional to 63,258 and 132,361.50 is: 276,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,258 : 132,361.50 = 132,361.50 : x
  2. Step 2: Convert to fraction form
    63,258/132,361.50 = 132,361.50/x
  3. Step 3: Cross multiply
    63,258x = 132,361.50 × 132,361.50
  4. Step 4: Simplify right side
    63,258x = 17,519,566,682.25
  5. Step 5: Solve for x
    x = 17,519,566,682.25/63,258
  6. Step 6: Final answer
    x = 276,954.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.