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Finding the Third Proportional to 62,935.50 and 136,827

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Solution

The third proportional to 62,935.50 and 136,827 is: 297,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,935.50 : 136,827 = 136,827 : x
  2. Step 2: Convert to fraction form
    62,935.50/136,827 = 136,827/x
  3. Step 3: Cross multiply
    62,935.50x = 136,827 × 136,827
  4. Step 4: Simplify right side
    62,935.50x = 18,721,627,929
  5. Step 5: Solve for x
    x = 18,721,627,929/62,935.50
  6. Step 6: Final answer
    x = 297,473.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.