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Finding the Third Proportional to 53,784 and 118,291

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Solution

The third proportional to 53,784 and 118,291 is: 260,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784 : 118,291 = 118,291 : x
  2. Step 2: Convert to fraction form
    53,784/118,291 = 118,291/x
  3. Step 3: Cross multiply
    53,784x = 118,291 × 118,291
  4. Step 4: Simplify right side
    53,784x = 13,992,760,681
  5. Step 5: Solve for x
    x = 13,992,760,681/53,784
  6. Step 6: Final answer
    x = 260,165.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.