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Finding the Third Proportional to 52,943.63 and 115,865.44

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Solution

The third proportional to 52,943.63 and 115,865.44 is: 253,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,943.63 : 115,865.44 = 115,865.44 : x
  2. Step 2: Convert to fraction form
    52,943.63/115,865.44 = 115,865.44/x
  3. Step 3: Cross multiply
    52,943.63x = 115,865.44 × 115,865.44
  4. Step 4: Simplify right side
    52,943.63x = 13,424,799,607.07
  5. Step 5: Solve for x
    x = 13,424,799,607.07/52,943.63
  6. Step 6: Final answer
    x = 253,567.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.