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Finding the Third Proportional to 53,983.50 and 79,395.50

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Solution

The third proportional to 53,983.50 and 79,395.50 is: 116,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,983.50 : 79,395.50 = 79,395.50 : x
  2. Step 2: Convert to fraction form
    53,983.50/79,395.50 = 79,395.50/x
  3. Step 3: Cross multiply
    53,983.50x = 79,395.50 × 79,395.50
  4. Step 4: Simplify right side
    53,983.50x = 6,303,645,420.25
  5. Step 5: Solve for x
    x = 6,303,645,420.25/53,983.50
  6. Step 6: Final answer
    x = 116,769.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.