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Finding the Third Proportional to 63,690 and 136,772

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Solution

The third proportional to 63,690 and 136,772 is: 293,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,690 : 136,772 = 136,772 : x
  2. Step 2: Convert to fraction form
    63,690/136,772 = 136,772/x
  3. Step 3: Cross multiply
    63,690x = 136,772 × 136,772
  4. Step 4: Simplify right side
    63,690x = 18,706,579,984
  5. Step 5: Solve for x
    x = 18,706,579,984/63,690
  6. Step 6: Final answer
    x = 293,712.98

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