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Finding the Third Proportional to 53,497.13 and 114,584.63

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Solution

The third proportional to 53,497.13 and 114,584.63 is: 245,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,497.13 : 114,584.63 = 114,584.63 : x
  2. Step 2: Convert to fraction form
    53,497.13/114,584.63 = 114,584.63/x
  3. Step 3: Cross multiply
    53,497.13x = 114,584.63 × 114,584.63
  4. Step 4: Simplify right side
    53,497.13x = 13,129,636,286.39
  5. Step 5: Solve for x
    x = 13,129,636,286.39/53,497.13
  6. Step 6: Final answer
    x = 245,426.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.