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Finding the Third Proportional to 53,497.97 and 112,964.63

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Solution

The third proportional to 53,497.97 and 112,964.63 is: 238,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,497.97 : 112,964.63 = 112,964.63 : x
  2. Step 2: Convert to fraction form
    53,497.97/112,964.63 = 112,964.63/x
  3. Step 3: Cross multiply
    53,497.97x = 112,964.63 × 112,964.63
  4. Step 4: Simplify right side
    53,497.97x = 12,761,006,501.39
  5. Step 5: Solve for x
    x = 12,761,006,501.39/53,497.97
  6. Step 6: Final answer
    x = 238,532.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.