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Finding the Third Proportional to 53,308.13 and 109,061.44

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Solution

The third proportional to 53,308.13 and 109,061.44 is: 223,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,308.13 : 109,061.44 = 109,061.44 : x
  2. Step 2: Convert to fraction form
    53,308.13/109,061.44 = 109,061.44/x
  3. Step 3: Cross multiply
    53,308.13x = 109,061.44 × 109,061.44
  4. Step 4: Simplify right side
    53,308.13x = 11,894,397,149.57
  5. Step 5: Solve for x
    x = 11,894,397,149.57/53,308.13
  6. Step 6: Final answer
    x = 223,125.41

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.